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Finding the Third Proportional to 411,522 and 901,828

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Solution

The third proportional to 411,522 and 901,828 is: 1,976,306.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,522 : 901,828 = 901,828 : x
  2. Step 2: Convert to fraction form
    411,522/901,828 = 901,828/x
  3. Step 3: Cross multiply
    411,522x = 901,828 × 901,828
  4. Step 4: Simplify right side
    411,522x = 813,293,741,584
  5. Step 5: Solve for x
    x = 813,293,741,584/411,522
  6. Step 6: Final answer
    x = 1,976,306.84

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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.