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Finding the Third Proportional to 764,682 and 1,147,311

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Solution

The third proportional to 764,682 and 1,147,311 is: 1,721,398.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,682 : 1,147,311 = 1,147,311 : x
  2. Step 2: Convert to fraction form
    764,682/1,147,311 = 1,147,311/x
  3. Step 3: Cross multiply
    764,682x = 1,147,311 × 1,147,311
  4. Step 4: Simplify right side
    764,682x = 1,316,322,530,721
  5. Step 5: Solve for x
    x = 1,316,322,530,721/764,682
  6. Step 6: Final answer
    x = 1,721,398.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.