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Finding the Third Proportional to 925,557 and 1,398,198

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Solution

The third proportional to 925,557 and 1,398,198 is: 2,112,195.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    925,557 : 1,398,198 = 1,398,198 : x
  2. Step 2: Convert to fraction form
    925,557/1,398,198 = 1,398,198/x
  3. Step 3: Cross multiply
    925,557x = 1,398,198 × 1,398,198
  4. Step 4: Simplify right side
    925,557x = 1,954,957,647,204
  5. Step 5: Solve for x
    x = 1,954,957,647,204/925,557
  6. Step 6: Final answer
    x = 2,112,195.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.