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Finding the Third Proportional to 379,842 and 810,534

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Solution

The third proportional to 379,842 and 810,534 is: 1,729,575.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,842 : 810,534 = 810,534 : x
  2. Step 2: Convert to fraction form
    379,842/810,534 = 810,534/x
  3. Step 3: Cross multiply
    379,842x = 810,534 × 810,534
  4. Step 4: Simplify right side
    379,842x = 656,965,365,156
  5. Step 5: Solve for x
    x = 656,965,365,156/379,842
  6. Step 6: Final answer
    x = 1,729,575.36

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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.