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Finding the Third Proportional to 865,443 and 1,883,277

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Solution

The third proportional to 865,443 and 1,883,277 is: 4,098,169.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    865,443 : 1,883,277 = 1,883,277 : x
  2. Step 2: Convert to fraction form
    865,443/1,883,277 = 1,883,277/x
  3. Step 3: Cross multiply
    865,443x = 1,883,277 × 1,883,277
  4. Step 4: Simplify right side
    865,443x = 3,546,732,258,729
  5. Step 5: Solve for x
    x = 3,546,732,258,729/865,443
  6. Step 6: Final answer
    x = 4,098,169.68

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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.