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Finding the Third Proportional to 726,216 and 1,687,560

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Solution

The third proportional to 726,216 and 1,687,560 is: 3,921,503.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,216 : 1,687,560 = 1,687,560 : x
  2. Step 2: Convert to fraction form
    726,216/1,687,560 = 1,687,560/x
  3. Step 3: Cross multiply
    726,216x = 1,687,560 × 1,687,560
  4. Step 4: Simplify right side
    726,216x = 2,847,858,753,600
  5. Step 5: Solve for x
    x = 2,847,858,753,600/726,216
  6. Step 6: Final answer
    x = 3,921,503.73

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.