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Finding the Third Proportional to 445,601 and 962,227

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Solution

The third proportional to 445,601 and 962,227 is: 2,077,824.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,601 : 962,227 = 962,227 : x
  2. Step 2: Convert to fraction form
    445,601/962,227 = 962,227/x
  3. Step 3: Cross multiply
    445,601x = 962,227 × 962,227
  4. Step 4: Simplify right side
    445,601x = 925,880,799,529
  5. Step 5: Solve for x
    x = 925,880,799,529/445,601
  6. Step 6: Final answer
    x = 2,077,824.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.