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Finding the Third Proportional to 798,587 and 1,206,198

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Solution

The third proportional to 798,587 and 1,206,198 is: 1,821,859.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    798,587 : 1,206,198 = 1,206,198 : x
  2. Step 2: Convert to fraction form
    798,587/1,206,198 = 1,206,198/x
  3. Step 3: Cross multiply
    798,587x = 1,206,198 × 1,206,198
  4. Step 4: Simplify right side
    798,587x = 1,454,913,615,204
  5. Step 5: Solve for x
    x = 1,454,913,615,204/798,587
  6. Step 6: Final answer
    x = 1,821,859.88

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