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Finding the Third Proportional to 752,957 and 1,147,082

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Solution

The third proportional to 752,957 and 1,147,082 is: 1,747,506.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    752,957 : 1,147,082 = 1,147,082 : x
  2. Step 2: Convert to fraction form
    752,957/1,147,082 = 1,147,082/x
  3. Step 3: Cross multiply
    752,957x = 1,147,082 × 1,147,082
  4. Step 4: Simplify right side
    752,957x = 1,315,797,114,724
  5. Step 5: Solve for x
    x = 1,315,797,114,724/752,957
  6. Step 6: Final answer
    x = 1,747,506.32

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.