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Finding the Third Proportional to 869,750 and 1,327,121

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Solution

The third proportional to 869,750 and 1,327,121 is: 2,025,007.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    869,750 : 1,327,121 = 1,327,121 : x
  2. Step 2: Convert to fraction form
    869,750/1,327,121 = 1,327,121/x
  3. Step 3: Cross multiply
    869,750x = 1,327,121 × 1,327,121
  4. Step 4: Simplify right side
    869,750x = 1,761,250,148,641
  5. Step 5: Solve for x
    x = 1,761,250,148,641/869,750
  6. Step 6: Final answer
    x = 2,025,007.36

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.