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Finding the Third Proportional to 819,494 and 1,285,548

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Solution

The third proportional to 819,494 and 1,285,548 is: 2,016,651.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    819,494 : 1,285,548 = 1,285,548 : x
  2. Step 2: Convert to fraction form
    819,494/1,285,548 = 1,285,548/x
  3. Step 3: Cross multiply
    819,494x = 1,285,548 × 1,285,548
  4. Step 4: Simplify right side
    819,494x = 1,652,633,660,304
  5. Step 5: Solve for x
    x = 1,652,633,660,304/819,494
  6. Step 6: Final answer
    x = 2,016,651.32

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.