What are 3 causes of the french and indian war

The French and Indian War was fought between the two greatest powers on earth.  The British and French had been rivals for a very long time in Europe.  By 1754, the rivalry had followed them to North America.

The French had long enjoyed a very profitable business with the fur trade.  The French had settled in the Ohio River valley, while the British were on the Atlantic coast.  British colonists had moved into the Ohio River valley by 1754 and began competing with the French in the fur trade. 

Not only were the French and British competing for dominance in Europe and in North America, they were also competing for trade in other parts of the world like Asia. 

These are the causes of the French and Indian War. 

1. Both the French and the English believed their explorers were the first to claim this land where the three rivers meet. 
2. Both countries wanted to keep the fur trade with the Native Americans.

I'm not sure of the last reason