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Finding the Third Proportional to 635,877 and 1,382,198

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Solution

The third proportional to 635,877 and 1,382,198 is: 3,004,466.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,877 : 1,382,198 = 1,382,198 : x
  2. Step 2: Convert to fraction form
    635,877/1,382,198 = 1,382,198/x
  3. Step 3: Cross multiply
    635,877x = 1,382,198 × 1,382,198
  4. Step 4: Simplify right side
    635,877x = 1,910,471,311,204
  5. Step 5: Solve for x
    x = 1,910,471,311,204/635,877
  6. Step 6: Final answer
    x = 3,004,466.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.