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Finding the Third Proportional to 416,226 and 884,292

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Solution

The third proportional to 416,226 and 884,292 is: 1,878,720.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,226 : 884,292 = 884,292 : x
  2. Step 2: Convert to fraction form
    416,226/884,292 = 884,292/x
  3. Step 3: Cross multiply
    416,226x = 884,292 × 884,292
  4. Step 4: Simplify right side
    416,226x = 781,972,341,264
  5. Step 5: Solve for x
    x = 781,972,341,264/416,226
  6. Step 6: Final answer
    x = 1,878,720.55

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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.