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Finding the Third Proportional to 418,033.09 and 915,797.71

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Solution

The third proportional to 418,033.09 and 915,797.71 is: 2,006,265.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,033.09 : 915,797.71 = 915,797.71 : x
  2. Step 2: Convert to fraction form
    418,033.09/915,797.71 = 915,797.71/x
  3. Step 3: Cross multiply
    418,033.09x = 915,797.71 × 915,797.71
  4. Step 4: Simplify right side
    418,033.09x = 838,685,440,203.68
  5. Step 5: Solve for x
    x = 838,685,440,203.68/418,033.09
  6. Step 6: Final answer
    x = 2,006,265.68

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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.