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Finding the Third Proportional to 411,204 and 896,952

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Solution

The third proportional to 411,204 and 896,952 is: 1,956,505.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,204 : 896,952 = 896,952 : x
  2. Step 2: Convert to fraction form
    411,204/896,952 = 896,952/x
  3. Step 3: Cross multiply
    411,204x = 896,952 × 896,952
  4. Step 4: Simplify right side
    411,204x = 804,522,890,304
  5. Step 5: Solve for x
    x = 804,522,890,304/411,204
  6. Step 6: Final answer
    x = 1,956,505.51

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.