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Finding the Third Proportional to 441,936 and 981,801

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Solution

The third proportional to 441,936 and 981,801 is: 2,181,160.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,936 : 981,801 = 981,801 : x
  2. Step 2: Convert to fraction form
    441,936/981,801 = 981,801/x
  3. Step 3: Cross multiply
    441,936x = 981,801 × 981,801
  4. Step 4: Simplify right side
    441,936x = 963,933,203,601
  5. Step 5: Solve for x
    x = 963,933,203,601/441,936
  6. Step 6: Final answer
    x = 2,181,160.18

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.