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Finding the Third Proportional to 2,667,198 and 3,811,371

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Solution

The third proportional to 2,667,198 and 3,811,371 is: 5,446,370.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,667,198 : 3,811,371 = 3,811,371 : x
  2. Step 2: Convert to fraction form
    2,667,198/3,811,371 = 3,811,371/x
  3. Step 3: Cross multiply
    2,667,198x = 3,811,371 × 3,811,371
  4. Step 4: Simplify right side
    2,667,198x = 14,526,548,899,641
  5. Step 5: Solve for x
    x = 14,526,548,899,641/2,667,198
  6. Step 6: Final answer
    x = 5,446,370.65

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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.