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Finding the Third Proportional to 772,758 and 1,682,812

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Solution

The third proportional to 772,758 and 1,682,812 is: 3,664,609.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,758 : 1,682,812 = 1,682,812 : x
  2. Step 2: Convert to fraction form
    772,758/1,682,812 = 1,682,812/x
  3. Step 3: Cross multiply
    772,758x = 1,682,812 × 1,682,812
  4. Step 4: Simplify right side
    772,758x = 2,831,856,227,344
  5. Step 5: Solve for x
    x = 2,831,856,227,344/772,758
  6. Step 6: Final answer
    x = 3,664,609.40

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Why These Related Problems?

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