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Finding the Third Proportional to 639,874 and 1,481,349

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Solution

The third proportional to 639,874 and 1,481,349 is: 3,429,417.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,874 : 1,481,349 = 1,481,349 : x
  2. Step 2: Convert to fraction form
    639,874/1,481,349 = 1,481,349/x
  3. Step 3: Cross multiply
    639,874x = 1,481,349 × 1,481,349
  4. Step 4: Simplify right side
    639,874x = 2,194,394,859,801
  5. Step 5: Solve for x
    x = 2,194,394,859,801/639,874
  6. Step 6: Final answer
    x = 3,429,417.13

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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.