Why were Cuba, Haiti, and the Dominican Republic vital to emerging American power in the Carribean?

Cuba, Haiti, and the Dominican Republic were vital to emerging American power in the Caribbean because:

In the Caribbean, the countries of Cuba, Haiti, and the Dominican Republic were very important in the quest for America to consolidate their power base.

This was because they  were previous occupied by Spain and France, and by this new found territories, America's power base grew stronger as they were taking on more territories around the world.

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Cuba, Haiti and the Dominican Republic were very important for the emerging American power in the Caribbean because they were territories formerly in the possession of the European powers (Spain and France), which once independent limited the power of these nations in the region.

Thus, the fact that Cuba, Haiti and the Dominican Republic were constituted as independent nations caused the European colonial powers to lose weight in the Caribbean Sea, leaving a power vacuum that was used by the United States to establish itself as the main power of the region.

the three roles stated in the dialogue develop the siblings' personalities.

lloyd's personality looks like a trademarketer

dana's personality is afraid from lloyd's behavior and the oldest sister is a decided person who tries to solve any conflict