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Finding the Third Proportional to 3,914,761.25 and 5,989,146.25

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Solution

The third proportional to 3,914,761.25 and 5,989,146.25 is: 9,162,722.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,914,761.25 : 5,989,146.25 = 5,989,146.25 : x
  2. Step 2: Convert to fraction form
    3,914,761.25/5,989,146.25 = 5,989,146.25/x
  3. Step 3: Cross multiply
    3,914,761.25x = 5,989,146.25 × 5,989,146.25
  4. Step 4: Simplify right side
    3,914,761.25x = 35,869,872,803,889.06
  5. Step 5: Solve for x
    x = 35,869,872,803,889.06/3,914,761.25
  6. Step 6: Final answer
    x = 9,162,722.96

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