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Finding the Third Proportional to 740,149 and 1,538,474

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Solution

The third proportional to 740,149 and 1,538,474 is: 3,197,872.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    740,149 : 1,538,474 = 1,538,474 : x
  2. Step 2: Convert to fraction form
    740,149/1,538,474 = 1,538,474/x
  3. Step 3: Cross multiply
    740,149x = 1,538,474 × 1,538,474
  4. Step 4: Simplify right side
    740,149x = 2,366,902,248,676
  5. Step 5: Solve for x
    x = 2,366,902,248,676/740,149
  6. Step 6: Final answer
    x = 3,197,872.66

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.