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Finding the Third Proportional to 819,971 and 1,801,375

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Solution

The third proportional to 819,971 and 1,801,375 is: 3,957,398.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,971 : 1,801,375 = 1,801,375 : x
  2. Step 2: Convert to fraction form
    819,971/1,801,375 = 1,801,375/x
  3. Step 3: Cross multiply
    819,971x = 1,801,375 × 1,801,375
  4. Step 4: Simplify right side
    819,971x = 3,244,951,890,625
  5. Step 5: Solve for x
    x = 3,244,951,890,625/819,971
  6. Step 6: Final answer
    x = 3,957,398.36

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.