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Finding the Third Proportional to 401,872 and 884,092

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Solution

The third proportional to 401,872 and 884,092 is: 1,944,944.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,872 : 884,092 = 884,092 : x
  2. Step 2: Convert to fraction form
    401,872/884,092 = 884,092/x
  3. Step 3: Cross multiply
    401,872x = 884,092 × 884,092
  4. Step 4: Simplify right side
    401,872x = 781,618,664,464
  5. Step 5: Solve for x
    x = 781,618,664,464/401,872
  6. Step 6: Final answer
    x = 1,944,944.32

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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.