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Finding the Third Proportional to 829,759 and 1,252,269

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Solution

The third proportional to 829,759 and 1,252,269 is: 1,889,919.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,759 : 1,252,269 = 1,252,269 : x
  2. Step 2: Convert to fraction form
    829,759/1,252,269 = 1,252,269/x
  3. Step 3: Cross multiply
    829,759x = 1,252,269 × 1,252,269
  4. Step 4: Simplify right side
    829,759x = 1,568,177,648,361
  5. Step 5: Solve for x
    x = 1,568,177,648,361/829,759
  6. Step 6: Final answer
    x = 1,889,919.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.