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Finding the Third Proportional to 857,864 and 1,694,198

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Solution

The third proportional to 857,864 and 1,694,198 is: 3,345,876.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,864 : 1,694,198 = 1,694,198 : x
  2. Step 2: Convert to fraction form
    857,864/1,694,198 = 1,694,198/x
  3. Step 3: Cross multiply
    857,864x = 1,694,198 × 1,694,198
  4. Step 4: Simplify right side
    857,864x = 2,870,306,863,204
  5. Step 5: Solve for x
    x = 2,870,306,863,204/857,864
  6. Step 6: Final answer
    x = 3,345,876.34

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.