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Finding the Third Proportional to 510,327 and 1,098,654

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Solution

The third proportional to 510,327 and 1,098,654 is: 2,365,229.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,327 : 1,098,654 = 1,098,654 : x
  2. Step 2: Convert to fraction form
    510,327/1,098,654 = 1,098,654/x
  3. Step 3: Cross multiply
    510,327x = 1,098,654 × 1,098,654
  4. Step 4: Simplify right side
    510,327x = 1,207,040,611,716
  5. Step 5: Solve for x
    x = 1,207,040,611,716/510,327
  6. Step 6: Final answer
    x = 2,365,229.77

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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.