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Finding the Third Proportional to 416,199 and 884,238

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Solution

The third proportional to 416,199 and 884,238 is: 1,878,612.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,199 : 884,238 = 884,238 : x
  2. Step 2: Convert to fraction form
    416,199/884,238 = 884,238/x
  3. Step 3: Cross multiply
    416,199x = 884,238 × 884,238
  4. Step 4: Simplify right side
    416,199x = 781,876,840,644
  5. Step 5: Solve for x
    x = 781,876,840,644/416,199
  6. Step 6: Final answer
    x = 1,878,612.97

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.