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Finding the Third Proportional to 596,810 and 1,221,198

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Solution

The third proportional to 596,810 and 1,221,198 is: 2,498,826.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,810 : 1,221,198 = 1,221,198 : x
  2. Step 2: Convert to fraction form
    596,810/1,221,198 = 1,221,198/x
  3. Step 3: Cross multiply
    596,810x = 1,221,198 × 1,221,198
  4. Step 4: Simplify right side
    596,810x = 1,491,324,555,204
  5. Step 5: Solve for x
    x = 1,491,324,555,204/596,810
  6. Step 6: Final answer
    x = 2,498,826.35

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.