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Finding the Third Proportional to 424,194.75 and 914,807.25

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Solution

The third proportional to 424,194.75 and 914,807.25 is: 1,972,849.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,194.75 : 914,807.25 = 914,807.25 : x
  2. Step 2: Convert to fraction form
    424,194.75/914,807.25 = 914,807.25/x
  3. Step 3: Cross multiply
    424,194.75x = 914,807.25 × 914,807.25
  4. Step 4: Simplify right side
    424,194.75x = 836,872,304,652.56
  5. Step 5: Solve for x
    x = 836,872,304,652.56/424,194.75
  6. Step 6: Final answer
    x = 1,972,849.27

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Why These Related Problems?

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