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Finding the Third Proportional to 2,172,710 and 3,192,474

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Solution

The third proportional to 2,172,710 and 3,192,474 is: 4,690,865.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172,710 : 3,192,474 = 3,192,474 : x
  2. Step 2: Convert to fraction form
    2,172,710/3,192,474 = 3,192,474/x
  3. Step 3: Cross multiply
    2,172,710x = 3,192,474 × 3,192,474
  4. Step 4: Simplify right side
    2,172,710x = 10,191,890,240,676
  5. Step 5: Solve for x
    x = 10,191,890,240,676/2,172,710
  6. Step 6: Final answer
    x = 4,690,865.44

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.