What is the name of the agreement that established that the senate would have two members per state, and representation in the house of representatives would be based on population?

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Answer: Great Compromise

Explanation: Their so-called Great Compromise (or Connecticut Compromise in honor of its architects, Connecticut delegates Roger Sherman and Oliver Ellsworth) provided a dual system of congressional representation. In the House of Representatives each state would be assigned a number of seats in proportion to its population.