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Finding the Third Proportional to 441,802 and 961,812

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Solution

The third proportional to 441,802 and 961,812 is: 2,093,884.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,802 : 961,812 = 961,812 : x
  2. Step 2: Convert to fraction form
    441,802/961,812 = 961,812/x
  3. Step 3: Cross multiply
    441,802x = 961,812 × 961,812
  4. Step 4: Simplify right side
    441,802x = 925,082,323,344
  5. Step 5: Solve for x
    x = 925,082,323,344/441,802
  6. Step 6: Final answer
    x = 2,093,884.42

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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.