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Finding the Third Proportional to 2,327,847 and 3,591,411

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Solution

The third proportional to 2,327,847 and 3,591,411 is: 5,540,842.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,327,847 : 3,591,411 = 3,591,411 : x
  2. Step 2: Convert to fraction form
    2,327,847/3,591,411 = 3,591,411/x
  3. Step 3: Cross multiply
    2,327,847x = 3,591,411 × 3,591,411
  4. Step 4: Simplify right side
    2,327,847x = 12,898,232,970,921
  5. Step 5: Solve for x
    x = 12,898,232,970,921/2,327,847
  6. Step 6: Final answer
    x = 5,540,842.23

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.