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Finding the Third Proportional to 424,100.81 and 914,626.69

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Solution

The third proportional to 424,100.81 and 914,626.69 is: 1,972,507.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,100.81 : 914,626.69 = 914,626.69 : x
  2. Step 2: Convert to fraction form
    424,100.81/914,626.69 = 914,626.69/x
  3. Step 3: Cross multiply
    424,100.81x = 914,626.69 × 914,626.69
  4. Step 4: Simplify right side
    424,100.81x = 836,541,977,487.22
  5. Step 5: Solve for x
    x = 836,541,977,487.22/424,100.81
  6. Step 6: Final answer
    x = 1,972,507.37

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.