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Finding the Third Proportional to 752,708 and 1,614,568

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Solution

The third proportional to 752,708 and 1,614,568 is: 3,463,268.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    752,708 : 1,614,568 = 1,614,568 : x
  2. Step 2: Convert to fraction form
    752,708/1,614,568 = 1,614,568/x
  3. Step 3: Cross multiply
    752,708x = 1,614,568 × 1,614,568
  4. Step 4: Simplify right side
    752,708x = 2,606,829,826,624
  5. Step 5: Solve for x
    x = 2,606,829,826,624/752,708
  6. Step 6: Final answer
    x = 3,463,268.39

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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.