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Finding the Third Proportional to 824,414.25 and 1,816,551

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Solution

The third proportional to 824,414.25 and 1,816,551 is: 4,002,669.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,414.25 : 1,816,551 = 1,816,551 : x
  2. Step 2: Convert to fraction form
    824,414.25/1,816,551 = 1,816,551/x
  3. Step 3: Cross multiply
    824,414.25x = 1,816,551 × 1,816,551
  4. Step 4: Simplify right side
    824,414.25x = 3,299,857,535,601
  5. Step 5: Solve for x
    x = 3,299,857,535,601/824,414.25
  6. Step 6: Final answer
    x = 4,002,669.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.