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Finding the Third Proportional to 441,384 and 944,976

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Solution

The third proportional to 441,384 and 944,976 is: 2,023,135.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,384 : 944,976 = 944,976 : x
  2. Step 2: Convert to fraction form
    441,384/944,976 = 944,976/x
  3. Step 3: Cross multiply
    441,384x = 944,976 × 944,976
  4. Step 4: Simplify right side
    441,384x = 892,979,640,576
  5. Step 5: Solve for x
    x = 892,979,640,576/441,384
  6. Step 6: Final answer
    x = 2,023,135.50

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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.