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Finding the Third Proportional to 432,846 and 944,424

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Solution

The third proportional to 432,846 and 944,424 is: 2,060,632.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,846 : 944,424 = 944,424 : x
  2. Step 2: Convert to fraction form
    432,846/944,424 = 944,424/x
  3. Step 3: Cross multiply
    432,846x = 944,424 × 944,424
  4. Step 4: Simplify right side
    432,846x = 891,936,691,776
  5. Step 5: Solve for x
    x = 891,936,691,776/432,846
  6. Step 6: Final answer
    x = 2,060,632.86

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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.