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Finding the Third Proportional to 752,764 and 1,614,680

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Solution

The third proportional to 752,764 and 1,614,680 is: 3,463,491.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    752,764 : 1,614,680 = 1,614,680 : x
  2. Step 2: Convert to fraction form
    752,764/1,614,680 = 1,614,680/x
  3. Step 3: Cross multiply
    752,764x = 1,614,680 × 1,614,680
  4. Step 4: Simplify right side
    752,764x = 2,607,191,502,400
  5. Step 5: Solve for x
    x = 2,607,191,502,400/752,764
  6. Step 6: Final answer
    x = 3,463,491.22

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.