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Finding the Third Proportional to 424,102 and 914,629

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Solution

The third proportional to 424,102 and 914,629 is: 1,972,511.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,102 : 914,629 = 914,629 : x
  2. Step 2: Convert to fraction form
    424,102/914,629 = 914,629/x
  3. Step 3: Cross multiply
    424,102x = 914,629 × 914,629
  4. Step 4: Simplify right side
    424,102x = 836,546,207,641
  5. Step 5: Solve for x
    x = 836,546,207,641/424,102
  6. Step 6: Final answer
    x = 1,972,511.82

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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.