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Finding the Third Proportional to 2,053,447 and 3,192,177

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Solution

The third proportional to 2,053,447 and 3,192,177 is: 4,962,384.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,053,447 : 3,192,177 = 3,192,177 : x
  2. Step 2: Convert to fraction form
    2,053,447/3,192,177 = 3,192,177/x
  3. Step 3: Cross multiply
    2,053,447x = 3,192,177 × 3,192,177
  4. Step 4: Simplify right side
    2,053,447x = 10,189,993,999,329
  5. Step 5: Solve for x
    x = 10,189,993,999,329/2,053,447
  6. Step 6: Final answer
    x = 4,962,384.71

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.