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Finding the Third Proportional to 812,546 and 1,760,692

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Solution

The third proportional to 812,546 and 1,760,692 is: 3,815,213.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,546 : 1,760,692 = 1,760,692 : x
  2. Step 2: Convert to fraction form
    812,546/1,760,692 = 1,760,692/x
  3. Step 3: Cross multiply
    812,546x = 1,760,692 × 1,760,692
  4. Step 4: Simplify right side
    812,546x = 3,100,036,318,864
  5. Step 5: Solve for x
    x = 3,100,036,318,864/812,546
  6. Step 6: Final answer
    x = 3,815,213.32

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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.