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Finding the Third Proportional to 683,596 and 1,472,374

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Solution

The third proportional to 683,596 and 1,472,374 is: 3,171,295.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,596 : 1,472,374 = 1,472,374 : x
  2. Step 2: Convert to fraction form
    683,596/1,472,374 = 1,472,374/x
  3. Step 3: Cross multiply
    683,596x = 1,472,374 × 1,472,374
  4. Step 4: Simplify right side
    683,596x = 2,167,885,195,876
  5. Step 5: Solve for x
    x = 2,167,885,195,876/683,596
  6. Step 6: Final answer
    x = 3,171,295.91

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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.