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Finding the Third Proportional to 416,222 and 884,284

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Solution

The third proportional to 416,222 and 884,284 is: 1,878,704.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,222 : 884,284 = 884,284 : x
  2. Step 2: Convert to fraction form
    416,222/884,284 = 884,284/x
  3. Step 3: Cross multiply
    416,222x = 884,284 × 884,284
  4. Step 4: Simplify right side
    416,222x = 781,958,192,656
  5. Step 5: Solve for x
    x = 781,958,192,656/416,222
  6. Step 6: Final answer
    x = 1,878,704.62

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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.