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Finding the Third Proportional to 812,042 and 1,786,084

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Solution

The third proportional to 812,042 and 1,786,084 is: 3,928,486.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,042 : 1,786,084 = 1,786,084 : x
  2. Step 2: Convert to fraction form
    812,042/1,786,084 = 1,786,084/x
  3. Step 3: Cross multiply
    812,042x = 1,786,084 × 1,786,084
  4. Step 4: Simplify right side
    812,042x = 3,190,096,055,056
  5. Step 5: Solve for x
    x = 3,190,096,055,056/812,042
  6. Step 6: Final answer
    x = 3,928,486.53

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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.