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Finding the Third Proportional to 1,741,754 and 2,561,410

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Solution

The third proportional to 1,741,754 and 2,561,410 is: 3,766,789.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741,754 : 2,561,410 = 2,561,410 : x
  2. Step 2: Convert to fraction form
    1,741,754/2,561,410 = 2,561,410/x
  3. Step 3: Cross multiply
    1,741,754x = 2,561,410 × 2,561,410
  4. Step 4: Simplify right side
    1,741,754x = 6,560,821,188,100
  5. Step 5: Solve for x
    x = 6,560,821,188,100/1,741,754
  6. Step 6: Final answer
    x = 3,766,789.79

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.