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Finding the Third Proportional to 2,667,200 and 3,811,374

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Solution

The third proportional to 2,667,200 and 3,811,374 is: 5,446,375.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,667,200 : 3,811,374 = 3,811,374 : x
  2. Step 2: Convert to fraction form
    2,667,200/3,811,374 = 3,811,374/x
  3. Step 3: Cross multiply
    2,667,200x = 3,811,374 × 3,811,374
  4. Step 4: Simplify right side
    2,667,200x = 14,526,571,767,876
  5. Step 5: Solve for x
    x = 14,526,571,767,876/2,667,200
  6. Step 6: Final answer
    x = 5,446,375.14

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.