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Finding the Third Proportional to 2,709,593 and 3,989,533

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Solution

The third proportional to 2,709,593 and 3,989,533 is: 5,874,082.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,709,593 : 3,989,533 = 3,989,533 : x
  2. Step 2: Convert to fraction form
    2,709,593/3,989,533 = 3,989,533/x
  3. Step 3: Cross multiply
    2,709,593x = 3,989,533 × 3,989,533
  4. Step 4: Simplify right side
    2,709,593x = 15,916,373,558,089
  5. Step 5: Solve for x
    x = 15,916,373,558,089/2,709,593
  6. Step 6: Final answer
    x = 5,874,082.77

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.