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Finding the Third Proportional to 714,156 and 1,487,496

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Solution

The third proportional to 714,156 and 1,487,496 is: 3,098,264.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,156 : 1,487,496 = 1,487,496 : x
  2. Step 2: Convert to fraction form
    714,156/1,487,496 = 1,487,496/x
  3. Step 3: Cross multiply
    714,156x = 1,487,496 × 1,487,496
  4. Step 4: Simplify right side
    714,156x = 2,212,644,350,016
  5. Step 5: Solve for x
    x = 2,212,644,350,016/714,156
  6. Step 6: Final answer
    x = 3,098,264.73

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.