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Finding the Third Proportional to 497,920 and 1,092,592

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Solution

The third proportional to 497,920 and 1,092,592 is: 2,397,488.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,920 : 1,092,592 = 1,092,592 : x
  2. Step 2: Convert to fraction form
    497,920/1,092,592 = 1,092,592/x
  3. Step 3: Cross multiply
    497,920x = 1,092,592 × 1,092,592
  4. Step 4: Simplify right side
    497,920x = 1,193,757,278,464
  5. Step 5: Solve for x
    x = 1,193,757,278,464/497,920
  6. Step 6: Final answer
    x = 2,397,488.11

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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.