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Finding the Third Proportional to 3,760,538 and 5,728,911

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Solution

The third proportional to 3,760,538 and 5,728,911 is: 8,727,586.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,760,538 : 5,728,911 = 5,728,911 : x
  2. Step 2: Convert to fraction form
    3,760,538/5,728,911 = 5,728,911/x
  3. Step 3: Cross multiply
    3,760,538x = 5,728,911 × 5,728,911
  4. Step 4: Simplify right side
    3,760,538x = 32,820,421,245,921
  5. Step 5: Solve for x
    x = 32,820,421,245,921/3,760,538
  6. Step 6: Final answer
    x = 8,727,586.65

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.