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Finding the Third Proportional to 733,860 and 1,597,320

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Solution

The third proportional to 733,860 and 1,597,320 is: 3,476,727.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,860 : 1,597,320 = 1,597,320 : x
  2. Step 2: Convert to fraction form
    733,860/1,597,320 = 1,597,320/x
  3. Step 3: Cross multiply
    733,860x = 1,597,320 × 1,597,320
  4. Step 4: Simplify right side
    733,860x = 2,551,431,182,400
  5. Step 5: Solve for x
    x = 2,551,431,182,400/733,860
  6. Step 6: Final answer
    x = 3,476,727.42

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.