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Finding the Third Proportional to 2,517,600 and 3,797,301

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Solution

The third proportional to 2,517,600 and 3,797,301 is: 5,727,476.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,517,600 : 3,797,301 = 3,797,301 : x
  2. Step 2: Convert to fraction form
    2,517,600/3,797,301 = 3,797,301/x
  3. Step 3: Cross multiply
    2,517,600x = 3,797,301 × 3,797,301
  4. Step 4: Simplify right side
    2,517,600x = 14,419,494,884,601
  5. Step 5: Solve for x
    x = 14,419,494,884,601/2,517,600
  6. Step 6: Final answer
    x = 5,727,476.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.