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Finding the Third Proportional to 417,934.69 and 915,963.19

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Solution

The third proportional to 417,934.69 and 915,963.19 is: 2,007,463.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,934.69 : 915,963.19 = 915,963.19 : x
  2. Step 2: Convert to fraction form
    417,934.69/915,963.19 = 915,963.19/x
  3. Step 3: Cross multiply
    417,934.69x = 915,963.19 × 915,963.19
  4. Step 4: Simplify right side
    417,934.69x = 838,988,560,855.16
  5. Step 5: Solve for x
    x = 838,988,560,855.16/417,934.69
  6. Step 6: Final answer
    x = 2,007,463.33

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.