Bumi & putra both are Sanskrit words. By your logic Malays must be Indians lah

P/S putra means son, not prince

So Jay Chou, Jackie Chan must be English or Americans?

I studied Japanese before. I can briefly explain:

When the Japanese imported Chinese characters (kanji), they also imported the pronunciations.
Every kanji has two types of pronunciation - on (Chinese pronunciation) & kun (original Japanese pronunciation)

example:
新
on pronunciation is shin;
kun pronunciation is atarashi

新幹線 Shinkansen (New Trunk Line) - all 3 kanjis in on pronunciation
Kono kuruma wa atarashii desu (This car is new) - 'new' in kun pronunciation

This is how Chinese pronunciation sipped into Japanese. But Japanese language is completely different from Chinese.