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Finding the Third Proportional to 812,785 and 1,786,456

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Solution

The third proportional to 812,785 and 1,786,456 is: 3,926,530.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,785 : 1,786,456 = 1,786,456 : x
  2. Step 2: Convert to fraction form
    812,785/1,786,456 = 1,786,456/x
  3. Step 3: Cross multiply
    812,785x = 1,786,456 × 1,786,456
  4. Step 4: Simplify right side
    812,785x = 3,191,425,039,936
  5. Step 5: Solve for x
    x = 3,191,425,039,936/812,785
  6. Step 6: Final answer
    x = 3,926,530.44

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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.