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Finding the Third Proportional to 766,832 and 1,612,984

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Solution

The third proportional to 766,832 and 1,612,984 is: 3,392,812.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,832 : 1,612,984 = 1,612,984 : x
  2. Step 2: Convert to fraction form
    766,832/1,612,984 = 1,612,984/x
  3. Step 3: Cross multiply
    766,832x = 1,612,984 × 1,612,984
  4. Step 4: Simplify right side
    766,832x = 2,601,717,384,256
  5. Step 5: Solve for x
    x = 2,601,717,384,256/766,832
  6. Step 6: Final answer
    x = 3,392,812.75

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.