How did the great compromise satisfy both the small and large states

The Great Compromise had two large facets that helped with governing; these are the two parts of bicameral legislature.

The compromise determined that one for of voting would be that states would get equal representation (one vote per state, later changed to two; the Senate), and that the other type would be based on populational representation (number of votes per state based on proportional population; the House).

The Senate portion helped to give small states a voice in legislature, and the House portion helped to represent the larger states by their size.

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