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Finding the Third Proportional to 812,017 and 1,786,034

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Solution

The third proportional to 812,017 and 1,786,034 is: 3,928,387.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,017 : 1,786,034 = 1,786,034 : x
  2. Step 2: Convert to fraction form
    812,017/1,786,034 = 1,786,034/x
  3. Step 3: Cross multiply
    812,017x = 1,786,034 × 1,786,034
  4. Step 4: Simplify right side
    812,017x = 3,189,917,449,156
  5. Step 5: Solve for x
    x = 3,189,917,449,156/812,017
  6. Step 6: Final answer
    x = 3,928,387.52

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.