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Finding the Third Proportional to 189,918 and 443,691

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Solution

The third proportional to 189,918 and 443,691 is: 1,036,561.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,918 : 443,691 = 443,691 : x
  2. Step 2: Convert to fraction form
    189,918/443,691 = 443,691/x
  3. Step 3: Cross multiply
    189,918x = 443,691 × 443,691
  4. Step 4: Simplify right side
    189,918x = 196,861,703,481
  5. Step 5: Solve for x
    x = 196,861,703,481/189,918
  6. Step 6: Final answer
    x = 1,036,561.59

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.