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Finding the Third Proportional to 424,101 and 914,625

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Solution

The third proportional to 424,101 and 914,625 is: 1,972,499.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,101 : 914,625 = 914,625 : x
  2. Step 2: Convert to fraction form
    424,101/914,625 = 914,625/x
  3. Step 3: Cross multiply
    424,101x = 914,625 × 914,625
  4. Step 4: Simplify right side
    424,101x = 836,538,890,625
  5. Step 5: Solve for x
    x = 836,538,890,625/424,101
  6. Step 6: Final answer
    x = 1,972,499.22

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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.