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Finding the Third Proportional to 498,436 and 1,093,374

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Solution

The third proportional to 498,436 and 1,093,374 is: 2,398,435.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,436 : 1,093,374 = 1,093,374 : x
  2. Step 2: Convert to fraction form
    498,436/1,093,374 = 1,093,374/x
  3. Step 3: Cross multiply
    498,436x = 1,093,374 × 1,093,374
  4. Step 4: Simplify right side
    498,436x = 1,195,466,703,876
  5. Step 5: Solve for x
    x = 1,195,466,703,876/498,436
  6. Step 6: Final answer
    x = 2,398,435.71

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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.