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Finding the Third Proportional to 812,298 and 1,760,188

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Solution

The third proportional to 812,298 and 1,760,188 is: 3,814,193.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,298 : 1,760,188 = 1,760,188 : x
  2. Step 2: Convert to fraction form
    812,298/1,760,188 = 1,760,188/x
  3. Step 3: Cross multiply
    812,298x = 1,760,188 × 1,760,188
  4. Step 4: Simplify right side
    812,298x = 3,098,261,795,344
  5. Step 5: Solve for x
    x = 3,098,261,795,344/812,298
  6. Step 6: Final answer
    x = 3,814,193.55

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.