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Finding the Third Proportional to 812,874.66 and 1,882,376.16

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Solution

The third proportional to 812,874.66 and 1,882,376.16 is: 4,359,023.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,874.66 : 1,882,376.16 = 1,882,376.16 : x
  2. Step 2: Convert to fraction form
    812,874.66/1,882,376.16 = 1,882,376.16/x
  3. Step 3: Cross multiply
    812,874.66x = 1,882,376.16 × 1,882,376.16
  4. Step 4: Simplify right side
    812,874.66x = 3,543,339,993,618.52
  5. Step 5: Solve for x
    x = 3,543,339,993,618.52/812,874.66
  6. Step 6: Final answer
    x = 4,359,023.83

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.