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Finding the Third Proportional to 524,891 and 1,082,908

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Solution

The third proportional to 524,891 and 1,082,908 is: 2,234,158.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,891 : 1,082,908 = 1,082,908 : x
  2. Step 2: Convert to fraction form
    524,891/1,082,908 = 1,082,908/x
  3. Step 3: Cross multiply
    524,891x = 1,082,908 × 1,082,908
  4. Step 4: Simplify right side
    524,891x = 1,172,689,736,464
  5. Step 5: Solve for x
    x = 1,172,689,736,464/524,891
  6. Step 6: Final answer
    x = 2,234,158.59

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.