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Finding the Third Proportional to 827,449 and 1,286,524

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Solution

The third proportional to 827,449 and 1,286,524 is: 2,000,297.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,449 : 1,286,524 = 1,286,524 : x
  2. Step 2: Convert to fraction form
    827,449/1,286,524 = 1,286,524/x
  3. Step 3: Cross multiply
    827,449x = 1,286,524 × 1,286,524
  4. Step 4: Simplify right side
    827,449x = 1,655,144,002,576
  5. Step 5: Solve for x
    x = 1,655,144,002,576/827,449
  6. Step 6: Final answer
    x = 2,000,297.30

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.