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Finding the Third Proportional to 2,546,370 and 3,682,493

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Solution

The third proportional to 2,546,370 and 3,682,493 is: 5,325,524.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546,370 : 3,682,493 = 3,682,493 : x
  2. Step 2: Convert to fraction form
    2,546,370/3,682,493 = 3,682,493/x
  3. Step 3: Cross multiply
    2,546,370x = 3,682,493 × 3,682,493
  4. Step 4: Simplify right side
    2,546,370x = 13,560,754,695,049
  5. Step 5: Solve for x
    x = 13,560,754,695,049/2,546,370
  6. Step 6: Final answer
    x = 5,325,524.06

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.