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Finding the Third Proportional to 547,902 and 1,198,908

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Solution

The third proportional to 547,902 and 1,198,908 is: 2,623,426.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,902 : 1,198,908 = 1,198,908 : x
  2. Step 2: Convert to fraction form
    547,902/1,198,908 = 1,198,908/x
  3. Step 3: Cross multiply
    547,902x = 1,198,908 × 1,198,908
  4. Step 4: Simplify right side
    547,902x = 1,437,380,392,464
  5. Step 5: Solve for x
    x = 1,437,380,392,464/547,902
  6. Step 6: Final answer
    x = 2,623,426.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.