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Finding the Third Proportional to 438,868 and 944,336

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Solution

The third proportional to 438,868 and 944,336 is: 2,031,978.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,868 : 944,336 = 944,336 : x
  2. Step 2: Convert to fraction form
    438,868/944,336 = 944,336/x
  3. Step 3: Cross multiply
    438,868x = 944,336 × 944,336
  4. Step 4: Simplify right side
    438,868x = 891,770,480,896
  5. Step 5: Solve for x
    x = 891,770,480,896/438,868
  6. Step 6: Final answer
    x = 2,031,978.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.