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Finding the Third Proportional to 2,172,708 and 3,192,471

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Solution

The third proportional to 2,172,708 and 3,192,471 is: 4,690,860.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,172,708 : 3,192,471 = 3,192,471 : x
  2. Step 2: Convert to fraction form
    2,172,708/3,192,471 = 3,192,471/x
  3. Step 3: Cross multiply
    2,172,708x = 3,192,471 × 3,192,471
  4. Step 4: Simplify right side
    2,172,708x = 10,191,871,085,841
  5. Step 5: Solve for x
    x = 10,191,871,085,841/2,172,708
  6. Step 6: Final answer
    x = 4,690,860.94

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