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Finding the Third Proportional to 411,332 and 901,448

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Solution

The third proportional to 411,332 and 901,448 is: 1,975,553.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,332 : 901,448 = 901,448 : x
  2. Step 2: Convert to fraction form
    411,332/901,448 = 901,448/x
  3. Step 3: Cross multiply
    411,332x = 901,448 × 901,448
  4. Step 4: Simplify right side
    411,332x = 812,608,496,704
  5. Step 5: Solve for x
    x = 812,608,496,704/411,332
  6. Step 6: Final answer
    x = 1,975,553.80

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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.