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Finding the Third Proportional to 2,546,340 and 3,682,452

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Solution

The third proportional to 2,546,340 and 3,682,452 is: 5,325,468.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546,340 : 3,682,452 = 3,682,452 : x
  2. Step 2: Convert to fraction form
    2,546,340/3,682,452 = 3,682,452/x
  3. Step 3: Cross multiply
    2,546,340x = 3,682,452 × 3,682,452
  4. Step 4: Simplify right side
    2,546,340x = 13,560,452,732,304
  5. Step 5: Solve for x
    x = 13,560,452,732,304/2,546,340
  6. Step 6: Final answer
    x = 5,325,468.21

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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.