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Finding the Third Proportional to 424,098 and 914,620

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Solution

The third proportional to 424,098 and 914,620 is: 1,972,491.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,098 : 914,620 = 914,620 : x
  2. Step 2: Convert to fraction form
    424,098/914,620 = 914,620/x
  3. Step 3: Cross multiply
    424,098x = 914,620 × 914,620
  4. Step 4: Simplify right side
    424,098x = 836,529,744,400
  5. Step 5: Solve for x
    x = 836,529,744,400/424,098
  6. Step 6: Final answer
    x = 1,972,491.60

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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.