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Finding the Third Proportional to 424,356.75 and 914,869.13

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Solution

The third proportional to 424,356.75 and 914,869.13 is: 1,972,362.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,356.75 : 914,869.13 = 914,869.13 : x
  2. Step 2: Convert to fraction form
    424,356.75/914,869.13 = 914,869.13/x
  3. Step 3: Cross multiply
    424,356.75x = 914,869.13 × 914,869.13
  4. Step 4: Simplify right side
    424,356.75x = 836,985,515,878.27
  5. Step 5: Solve for x
    x = 836,985,515,878.27/424,356.75
  6. Step 6: Final answer
    x = 1,972,362.91

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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.