Usercontrol utilizando un Datacontext incorrecto

Tengo un UserControl que se utiliza en un control principal de esta manera:

<Views:TranslationTextInput  Translation="{Binding SelectedEntity.Name}"/>

El control principal DataContext es un ViewModel que contiene la propiedad SelectedEntity.

En mi UserControl hijo, defino un nuevo ViewModel como el DataContext:

    <UserControl.DataContext>
      <vm:TranslationTextInputViewModel x:Name="vm"></vm:TranslationTextInputViewModel>
    </UserControl.DataContext>

En el código de detrás tengo:

    public static readonly  DependencyProperty TranslationProperty = DependencyProperty.Register("Translation", typeof(Translation),typeof(UserControl));

    // .NET Property wrapper
    public Translation Translation
    {
        get { return (Translation)GetValue(TranslationProperty); }
        set { SetValue(TranslationProperty, value); }
    }


 public TranslationTextInput(){
     InitializeComponent();
     DataContext = new TranslationTextInputViewModel();
     SetBinding(TranslationProperty,   new Binding { Path = new PropertyPath     ("Translation"), Mode = BindingMode.OneWayToSource });

Cuando se ejecuta me sale un error de enlace:

System.Windows.Data Error: 40 : BindingExpression path error: 'SelectedEntity' property not found on 'object' ''TranslationTextInputViewModel' (HashCode=49954236)'. BindingExpression:Path=SelectedEntity.Name; DataItem='TranslationTextInputViewModel' (HashCode=49954236); target element is 'TranslationTextInput' (Name='InputControl'); target property is 'Translation' (type 'Translation')

Parece que SelectedEntity se encuentra en el Viewmodel del UserControl secundario, pero se debe usar la propiedad del ViewModel principal. ¿Como puedo resolver esto?

Editar:

    public TranslationTextInputViewModel()
    {
        //EnglishTranslation = tranlsations["en"];
    }

    public string EnglishTranslation
    {
        get
        {
            if (!Translation.TranslationDict.ContainsKey(new CultureInfo("en").LCID))
                Translation.Translations.Add(new TranslationItem() { Text = "", Lcid = new CultureInfo("en").LCID });
            return Translation.TranslationDict[new CultureInfo("en").LCID].Text;
        }
        set
        {
            Translation.TranslationDict[new CultureInfo("en").LCID].Text = value;
        }

    }

    public string SelectedTranslation
    {
        get
        {
            if (!Translation.TranslationDict.ContainsKey(_selectedLanguage))
                Translation.Translations.Add(new TranslationItem() { Text = "", Lcid = _selectedLanguage });
            return Translation.TranslationDict[_selectedLanguage].Text;

        }

        set
        {
            Translation.TranslationDict[_selectedLanguage].Text = value;
        }
    }

    private Translation _translation;

    public Translation Translation
    {
        get
        {
            if (_translation == null)
                _translation = new Translation();
            return _translation; }
        set { _translation = value; }
    }

    private int _selectedLanguage;
    public int SelectedLanguage
    {
        get
        {
            return _selectedLanguage;
        }
    }

    public List<CultureInfo> AvailableLanguages
    {
        get
        {

            return (from x in PqsLocalization.AvailableLanguages where x.Name != "en" select x).ToList();
        }
    }

    public RelayCommand<int> LanguageChanged { get; private set; }


    private void LanguageChangedExecute(int lang)
    {
        _selectedLanguage = lang;
        RaisePropertyChanged("SelectedLanguage");
        RaisePropertyChanged("SelectedTranslation");
    }

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