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Finding the Third Proportional to 441,251 and 963,422

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Solution

The third proportional to 441,251 and 963,422 is: 2,103,523.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,251 : 963,422 = 963,422 : x
  2. Step 2: Convert to fraction form
    441,251/963,422 = 963,422/x
  3. Step 3: Cross multiply
    441,251x = 963,422 × 963,422
  4. Step 4: Simplify right side
    441,251x = 928,181,950,084
  5. Step 5: Solve for x
    x = 928,181,950,084/441,251
  6. Step 6: Final answer
    x = 2,103,523.73

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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.