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Finding the Third Proportional to 694,494 and 1,474,254

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Solution

The third proportional to 694,494 and 1,474,254 is: 3,129,508.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    694,494 : 1,474,254 = 1,474,254 : x
  2. Step 2: Convert to fraction form
    694,494/1,474,254 = 1,474,254/x
  3. Step 3: Cross multiply
    694,494x = 1,474,254 × 1,474,254
  4. Step 4: Simplify right side
    694,494x = 2,173,424,856,516
  5. Step 5: Solve for x
    x = 2,173,424,856,516/694,494
  6. Step 6: Final answer
    x = 3,129,508.47

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.