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Finding the Third Proportional to 829,757 and 1,252,267

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Solution

The third proportional to 829,757 and 1,252,267 is: 1,889,917.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,757 : 1,252,267 = 1,252,267 : x
  2. Step 2: Convert to fraction form
    829,757/1,252,267 = 1,252,267/x
  3. Step 3: Cross multiply
    829,757x = 1,252,267 × 1,252,267
  4. Step 4: Simplify right side
    829,757x = 1,568,172,639,289
  5. Step 5: Solve for x
    x = 1,568,172,639,289/829,757
  6. Step 6: Final answer
    x = 1,889,917.94

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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.