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Finding the Third Proportional to 424,100 and 914,624

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Solution

The third proportional to 424,100 and 914,624 is: 1,972,499.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,100 : 914,624 = 914,624 : x
  2. Step 2: Convert to fraction form
    424,100/914,624 = 914,624/x
  3. Step 3: Cross multiply
    424,100x = 914,624 × 914,624
  4. Step 4: Simplify right side
    424,100x = 836,537,061,376
  5. Step 5: Solve for x
    x = 836,537,061,376/424,100
  6. Step 6: Final answer
    x = 1,972,499.56

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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.