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Finding the Third Proportional to 769,019 and 1,682,774

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Solution

The third proportional to 769,019 and 1,682,774 is: 3,682,260.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,019 : 1,682,774 = 1,682,774 : x
  2. Step 2: Convert to fraction form
    769,019/1,682,774 = 1,682,774/x
  3. Step 3: Cross multiply
    769,019x = 1,682,774 × 1,682,774
  4. Step 4: Simplify right side
    769,019x = 2,831,728,335,076
  5. Step 5: Solve for x
    x = 2,831,728,335,076/769,019
  6. Step 6: Final answer
    x = 3,682,260.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.