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Finding the Third Proportional to 2,091,874 and 3,232,419

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Solution

The third proportional to 2,091,874 and 3,232,419 is: 4,994,819.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,091,874 : 3,232,419 = 3,232,419 : x
  2. Step 2: Convert to fraction form
    2,091,874/3,232,419 = 3,232,419/x
  3. Step 3: Cross multiply
    2,091,874x = 3,232,419 × 3,232,419
  4. Step 4: Simplify right side
    2,091,874x = 10,448,532,591,561
  5. Step 5: Solve for x
    x = 10,448,532,591,561/2,091,874
  6. Step 6: Final answer
    x = 4,994,819.28

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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.