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Finding the Third Proportional to 424,217 and 914,853

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Solution

The third proportional to 424,217 and 914,853 is: 1,972,943.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,217 : 914,853 = 914,853 : x
  2. Step 2: Convert to fraction form
    424,217/914,853 = 914,853/x
  3. Step 3: Cross multiply
    424,217x = 914,853 × 914,853
  4. Step 4: Simplify right side
    424,217x = 836,956,011,609
  5. Step 5: Solve for x
    x = 836,956,011,609/424,217
  6. Step 6: Final answer
    x = 1,972,943.12

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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.