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Finding the Third Proportional to 796,865 and 1,726,474

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Solution

The third proportional to 796,865 and 1,726,474 is: 3,740,548.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    796,865 : 1,726,474 = 1,726,474 : x
  2. Step 2: Convert to fraction form
    796,865/1,726,474 = 1,726,474/x
  3. Step 3: Cross multiply
    796,865x = 1,726,474 × 1,726,474
  4. Step 4: Simplify right side
    796,865x = 2,980,712,472,676
  5. Step 5: Solve for x
    x = 2,980,712,472,676/796,865
  6. Step 6: Final answer
    x = 3,740,548.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.