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Finding the Third Proportional to 951,478 and 1,472,282

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Solution

The third proportional to 951,478 and 1,472,282 is: 2,278,154.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    951,478 : 1,472,282 = 1,472,282 : x
  2. Step 2: Convert to fraction form
    951,478/1,472,282 = 1,472,282/x
  3. Step 3: Cross multiply
    951,478x = 1,472,282 × 1,472,282
  4. Step 4: Simplify right side
    951,478x = 2,167,614,287,524
  5. Step 5: Solve for x
    x = 2,167,614,287,524/951,478
  6. Step 6: Final answer
    x = 2,278,154.92

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.