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Finding the Third Proportional to 865,446 and 1,883,286

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Solution

The third proportional to 865,446 and 1,883,286 is: 4,098,194.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,446 : 1,883,286 = 1,883,286 : x
  2. Step 2: Convert to fraction form
    865,446/1,883,286 = 1,883,286/x
  3. Step 3: Cross multiply
    865,446x = 1,883,286 × 1,883,286
  4. Step 4: Simplify right side
    865,446x = 3,546,766,157,796
  5. Step 5: Solve for x
    x = 3,546,766,157,796/865,446
  6. Step 6: Final answer
    x = 4,098,194.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.