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Finding the Third Proportional to 3,914,766 and 5,989,151.25

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Solution

The third proportional to 3,914,766 and 5,989,151.25 is: 9,162,727.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,914,766 : 5,989,151.25 = 5,989,151.25 : x
  2. Step 2: Convert to fraction form
    3,914,766/5,989,151.25 = 5,989,151.25/x
  3. Step 3: Cross multiply
    3,914,766x = 5,989,151.25 × 5,989,151.25
  4. Step 4: Simplify right side
    3,914,766x = 35,869,932,695,376.56
  5. Step 5: Solve for x
    x = 35,869,932,695,376.56/3,914,766
  6. Step 6: Final answer
    x = 9,162,727.15

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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.