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Finding the Third Proportional to 442,252 and 967,244

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Solution

The third proportional to 442,252 and 967,244 is: 2,115,447.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,252 : 967,244 = 967,244 : x
  2. Step 2: Convert to fraction form
    442,252/967,244 = 967,244/x
  3. Step 3: Cross multiply
    442,252x = 967,244 × 967,244
  4. Step 4: Simplify right side
    442,252x = 935,560,955,536
  5. Step 5: Solve for x
    x = 935,560,955,536/442,252
  6. Step 6: Final answer
    x = 2,115,447.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.