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Finding the Third Proportional to 2,575,476 and 5,086,092

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Solution

The third proportional to 2,575,476 and 5,086,092 is: 10,044,097.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,575,476 : 5,086,092 = 5,086,092 : x
  2. Step 2: Convert to fraction form
    2,575,476/5,086,092 = 5,086,092/x
  3. Step 3: Cross multiply
    2,575,476x = 5,086,092 × 5,086,092
  4. Step 4: Simplify right side
    2,575,476x = 25,868,331,832,464
  5. Step 5: Solve for x
    x = 25,868,331,832,464/2,575,476
  6. Step 6: Final answer
    x = 10,044,097.41

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.