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Finding the Third Proportional to 816,996.38 and 1,198,026.56

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Solution

The third proportional to 816,996.38 and 1,198,026.56 is: 1,756,761.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,996.38 : 1,198,026.56 = 1,198,026.56 : x
  2. Step 2: Convert to fraction form
    816,996.38/1,198,026.56 = 1,198,026.56/x
  3. Step 3: Cross multiply
    816,996.38x = 1,198,026.56 × 1,198,026.56
  4. Step 4: Simplify right side
    816,996.38x = 1,435,267,644,455.57
  5. Step 5: Solve for x
    x = 1,435,267,644,455.57/816,996.38
  6. Step 6: Final answer
    x = 1,756,761.34

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.