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Finding the Third Proportional to 474,952 and 1,008,198

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Solution

The third proportional to 474,952 and 1,008,198 is: 2,140,138.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,952 : 1,008,198 = 1,008,198 : x
  2. Step 2: Convert to fraction form
    474,952/1,008,198 = 1,008,198/x
  3. Step 3: Cross multiply
    474,952x = 1,008,198 × 1,008,198
  4. Step 4: Simplify right side
    474,952x = 1,016,463,207,204
  5. Step 5: Solve for x
    x = 1,016,463,207,204/474,952
  6. Step 6: Final answer
    x = 2,140,138.81

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.