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Finding the Third Proportional to 1,082,466 and 1,538,571

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Solution

The third proportional to 1,082,466 and 1,538,571 is: 2,186,859.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082,466 : 1,538,571 = 1,538,571 : x
  2. Step 2: Convert to fraction form
    1,082,466/1,538,571 = 1,538,571/x
  3. Step 3: Cross multiply
    1,082,466x = 1,538,571 × 1,538,571
  4. Step 4: Simplify right side
    1,082,466x = 2,367,200,722,041
  5. Step 5: Solve for x
    x = 2,367,200,722,041/1,082,466
  6. Step 6: Final answer
    x = 2,186,859.19

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.