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Finding the Third Proportional to 424,126.13 and 914,659.59

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Solution

The third proportional to 424,126.13 and 914,659.59 is: 1,972,531.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,126.13 : 914,659.59 = 914,659.59 : x
  2. Step 2: Convert to fraction form
    424,126.13/914,659.59 = 914,659.59/x
  3. Step 3: Cross multiply
    424,126.13x = 914,659.59 × 914,659.59
  4. Step 4: Simplify right side
    424,126.13x = 836,602,172,438.92
  5. Step 5: Solve for x
    x = 836,602,172,438.92/424,126.13
  6. Step 6: Final answer
    x = 1,972,531.57

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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.