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Finding the Third Proportional to 733,910 and 1,488,474

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Solution

The third proportional to 733,910 and 1,488,474 is: 3,018,837.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,910 : 1,488,474 = 1,488,474 : x
  2. Step 2: Convert to fraction form
    733,910/1,488,474 = 1,488,474/x
  3. Step 3: Cross multiply
    733,910x = 1,488,474 × 1,488,474
  4. Step 4: Simplify right side
    733,910x = 2,215,554,848,676
  5. Step 5: Solve for x
    x = 2,215,554,848,676/733,910
  6. Step 6: Final answer
    x = 3,018,837.25

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.