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Finding the Third Proportional to 752,768 and 1,614,688

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Solution

The third proportional to 752,768 and 1,614,688 is: 3,463,507.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    752,768 : 1,614,688 = 1,614,688 : x
  2. Step 2: Convert to fraction form
    752,768/1,614,688 = 1,614,688/x
  3. Step 3: Cross multiply
    752,768x = 1,614,688 × 1,614,688
  4. Step 4: Simplify right side
    752,768x = 2,607,217,337,344
  5. Step 5: Solve for x
    x = 2,607,217,337,344/752,768
  6. Step 6: Final answer
    x = 3,463,507.13

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Why These Related Problems?

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