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Finding the Third Proportional to 831,722 and 1,693,591

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Solution

The third proportional to 831,722 and 1,693,591 is: 3,448,568.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,722 : 1,693,591 = 1,693,591 : x
  2. Step 2: Convert to fraction form
    831,722/1,693,591 = 1,693,591/x
  3. Step 3: Cross multiply
    831,722x = 1,693,591 × 1,693,591
  4. Step 4: Simplify right side
    831,722x = 2,868,250,475,281
  5. Step 5: Solve for x
    x = 2,868,250,475,281/831,722
  6. Step 6: Final answer
    x = 3,448,568.72

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.