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Finding the Third Proportional to 678,811 and 1,340,489

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Solution

The third proportional to 678,811 and 1,340,489 is: 2,647,144.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,811 : 1,340,489 = 1,340,489 : x
  2. Step 2: Convert to fraction form
    678,811/1,340,489 = 1,340,489/x
  3. Step 3: Cross multiply
    678,811x = 1,340,489 × 1,340,489
  4. Step 4: Simplify right side
    678,811x = 1,796,910,759,121
  5. Step 5: Solve for x
    x = 1,796,910,759,121/678,811
  6. Step 6: Final answer
    x = 2,647,144.43

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.