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Finding the Third Proportional to 811,762 and 1,764,812

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Solution

The third proportional to 811,762 and 1,764,812 is: 3,836,791.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,762 : 1,764,812 = 1,764,812 : x
  2. Step 2: Convert to fraction form
    811,762/1,764,812 = 1,764,812/x
  3. Step 3: Cross multiply
    811,762x = 1,764,812 × 1,764,812
  4. Step 4: Simplify right side
    811,762x = 3,114,561,395,344
  5. Step 5: Solve for x
    x = 3,114,561,395,344/811,762
  6. Step 6: Final answer
    x = 3,836,791.32

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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.