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Finding the Third Proportional to 1,741,678 and 2,561,304

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Solution

The third proportional to 1,741,678 and 2,561,304 is: 3,766,642.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,741,678 : 2,561,304 = 2,561,304 : x
  2. Step 2: Convert to fraction form
    1,741,678/2,561,304 = 2,561,304/x
  3. Step 3: Cross multiply
    1,741,678x = 2,561,304 × 2,561,304
  4. Step 4: Simplify right side
    1,741,678x = 6,560,278,180,416
  5. Step 5: Solve for x
    x = 6,560,278,180,416/1,741,678
  6. Step 6: Final answer
    x = 3,766,642.39

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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.