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Finding the Third Proportional to 967,227 and 2,102,367

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Solution

The third proportional to 967,227 and 2,102,367 is: 4,569,710.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    967,227 : 2,102,367 = 2,102,367 : x
  2. Step 2: Convert to fraction form
    967,227/2,102,367 = 2,102,367/x
  3. Step 3: Cross multiply
    967,227x = 2,102,367 × 2,102,367
  4. Step 4: Simplify right side
    967,227x = 4,419,947,002,689
  5. Step 5: Solve for x
    x = 4,419,947,002,689/967,227
  6. Step 6: Final answer
    x = 4,569,710.11

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.