What $$5$$-digit number has the following features:  If we put the numeral $$1$$ at the beginning, we get a number three times smaller than if we put the numberal $$1$$ at the end of the number?  In other words, if you think the answer is the number $$34567$$, then you want the number $$134567$$ to be one third of $$345671$$, but it isn\textquotesingle t, so what\textquotesingle s the number? 
Overseas Competition->Knowledge Point->Number Theory Modules->Place Value and Number Bases->Applying the Principle of Place Value