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Finding the Third Proportional to 683,614 and 1,472,402

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Solution

The third proportional to 683,614 and 1,472,402 is: 3,171,333.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,614 : 1,472,402 = 1,472,402 : x
  2. Step 2: Convert to fraction form
    683,614/1,472,402 = 1,472,402/x
  3. Step 3: Cross multiply
    683,614x = 1,472,402 × 1,472,402
  4. Step 4: Simplify right side
    683,614x = 2,167,967,649,604
  5. Step 5: Solve for x
    x = 2,167,967,649,604/683,614
  6. Step 6: Final answer
    x = 3,171,333.02

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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.