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Finding the Third Proportional to 826,198 and 1,814,992

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Solution

The third proportional to 826,198 and 1,814,992 is: 3,987,174.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,198 : 1,814,992 = 1,814,992 : x
  2. Step 2: Convert to fraction form
    826,198/1,814,992 = 1,814,992/x
  3. Step 3: Cross multiply
    826,198x = 1,814,992 × 1,814,992
  4. Step 4: Simplify right side
    826,198x = 3,294,195,960,064
  5. Step 5: Solve for x
    x = 3,294,195,960,064/826,198
  6. Step 6: Final answer
    x = 3,987,174.94

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.