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Finding the Third Proportional to 401,874 and 884,096

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Solution

The third proportional to 401,874 and 884,096 is: 1,944,952.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,874 : 884,096 = 884,096 : x
  2. Step 2: Convert to fraction form
    401,874/884,096 = 884,096/x
  3. Step 3: Cross multiply
    401,874x = 884,096 × 884,096
  4. Step 4: Simplify right side
    401,874x = 781,625,737,216
  5. Step 5: Solve for x
    x = 781,625,737,216/401,874
  6. Step 6: Final answer
    x = 1,944,952.24

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Why These Related Problems?

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