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Finding the Third Proportional to 807,198 and 1,216,941

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Solution

The third proportional to 807,198 and 1,216,941 is: 1,834,674.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,198 : 1,216,941 = 1,216,941 : x
  2. Step 2: Convert to fraction form
    807,198/1,216,941 = 1,216,941/x
  3. Step 3: Cross multiply
    807,198x = 1,216,941 × 1,216,941
  4. Step 4: Simplify right side
    807,198x = 1,480,945,397,481
  5. Step 5: Solve for x
    x = 1,480,945,397,481/807,198
  6. Step 6: Final answer
    x = 1,834,674.27

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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.