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Finding the Third Proportional to 482,327 and 1,031,092

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Solution

The third proportional to 482,327 and 1,031,092 is: 2,204,211.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,327 : 1,031,092 = 1,031,092 : x
  2. Step 2: Convert to fraction form
    482,327/1,031,092 = 1,031,092/x
  3. Step 3: Cross multiply
    482,327x = 1,031,092 × 1,031,092
  4. Step 4: Simplify right side
    482,327x = 1,063,150,712,464
  5. Step 5: Solve for x
    x = 1,063,150,712,464/482,327
  6. Step 6: Final answer
    x = 2,204,211.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.