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Finding the Third Proportional to 379,851 and 810,543

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Solution

The third proportional to 379,851 and 810,543 is: 1,729,572.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,851 : 810,543 = 810,543 : x
  2. Step 2: Convert to fraction form
    379,851/810,543 = 810,543/x
  3. Step 3: Cross multiply
    379,851x = 810,543 × 810,543
  4. Step 4: Simplify right side
    379,851x = 656,979,954,849
  5. Step 5: Solve for x
    x = 656,979,954,849/379,851
  6. Step 6: Final answer
    x = 1,729,572.79

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.