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Finding the Third Proportional to 766,820 and 1,612,960

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Solution

The third proportional to 766,820 and 1,612,960 is: 3,392,764.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,820 : 1,612,960 = 1,612,960 : x
  2. Step 2: Convert to fraction form
    766,820/1,612,960 = 1,612,960/x
  3. Step 3: Cross multiply
    766,820x = 1,612,960 × 1,612,960
  4. Step 4: Simplify right side
    766,820x = 2,601,639,961,600
  5. Step 5: Solve for x
    x = 2,601,639,961,600/766,820
  6. Step 6: Final answer
    x = 3,392,764.88

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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.