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Finding the Third Proportional to 441,338 and 944,884

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Solution

The third proportional to 441,338 and 944,884 is: 2,022,952.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,338 : 944,884 = 944,884 : x
  2. Step 2: Convert to fraction form
    441,338/944,884 = 944,884/x
  3. Step 3: Cross multiply
    441,338x = 944,884 × 944,884
  4. Step 4: Simplify right side
    441,338x = 892,805,773,456
  5. Step 5: Solve for x
    x = 892,805,773,456/441,338
  6. Step 6: Final answer
    x = 2,022,952.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.