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Finding the Third Proportional to 499,717 and 1,092,638

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Solution

The third proportional to 499,717 and 1,092,638 is: 2,389,067.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,717 : 1,092,638 = 1,092,638 : x
  2. Step 2: Convert to fraction form
    499,717/1,092,638 = 1,092,638/x
  3. Step 3: Cross multiply
    499,717x = 1,092,638 × 1,092,638
  4. Step 4: Simplify right side
    499,717x = 1,193,857,799,044
  5. Step 5: Solve for x
    x = 1,193,857,799,044/499,717
  6. Step 6: Final answer
    x = 2,389,067.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.