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Finding the Third Proportional to 424,351 and 909,375

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Solution

The third proportional to 424,351 and 909,375 is: 1,948,770.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,351 : 909,375 = 909,375 : x
  2. Step 2: Convert to fraction form
    424,351/909,375 = 909,375/x
  3. Step 3: Cross multiply
    424,351x = 909,375 × 909,375
  4. Step 4: Simplify right side
    424,351x = 826,962,890,625
  5. Step 5: Solve for x
    x = 826,962,890,625/424,351
  6. Step 6: Final answer
    x = 1,948,770.92

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.