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Finding the Third Proportional to 831,768 and 1,339,524

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Solution

The third proportional to 831,768 and 1,339,524 is: 2,157,241.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,768 : 1,339,524 = 1,339,524 : x
  2. Step 2: Convert to fraction form
    831,768/1,339,524 = 1,339,524/x
  3. Step 3: Cross multiply
    831,768x = 1,339,524 × 1,339,524
  4. Step 4: Simplify right side
    831,768x = 1,794,324,546,576
  5. Step 5: Solve for x
    x = 1,794,324,546,576/831,768
  6. Step 6: Final answer
    x = 2,157,241.62

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.