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Finding the Third Proportional to 3,666,197 and 5,546,471

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Solution

The third proportional to 3,666,197 and 5,546,471 is: 8,391,076.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,666,197 : 5,546,471 = 5,546,471 : x
  2. Step 2: Convert to fraction form
    3,666,197/5,546,471 = 5,546,471/x
  3. Step 3: Cross multiply
    3,666,197x = 5,546,471 × 5,546,471
  4. Step 4: Simplify right side
    3,666,197x = 30,763,340,553,841
  5. Step 5: Solve for x
    x = 30,763,340,553,841/3,666,197
  6. Step 6: Final answer
    x = 8,391,076.79

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.