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Finding the Third Proportional to 547,654 and 1,198,374

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Solution

The third proportional to 547,654 and 1,198,374 is: 2,622,276.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,654 : 1,198,374 = 1,198,374 : x
  2. Step 2: Convert to fraction form
    547,654/1,198,374 = 1,198,374/x
  3. Step 3: Cross multiply
    547,654x = 1,198,374 × 1,198,374
  4. Step 4: Simplify right side
    547,654x = 1,436,100,243,876
  5. Step 5: Solve for x
    x = 1,436,100,243,876/547,654
  6. Step 6: Final answer
    x = 2,622,276.55

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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.