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Finding the Third Proportional to 817,996 and 1,263,474

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Solution

The third proportional to 817,996 and 1,263,474 is: 1,951,557.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    817,996 : 1,263,474 = 1,263,474 : x
  2. Step 2: Convert to fraction form
    817,996/1,263,474 = 1,263,474/x
  3. Step 3: Cross multiply
    817,996x = 1,263,474 × 1,263,474
  4. Step 4: Simplify right side
    817,996x = 1,596,366,548,676
  5. Step 5: Solve for x
    x = 1,596,366,548,676/817,996
  6. Step 6: Final answer
    x = 1,951,557.89

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.