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Finding the Third Proportional to 827,011 and 1,780,734

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Solution

The third proportional to 827,011 and 1,780,734 is: 3,834,306.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,011 : 1,780,734 = 1,780,734 : x
  2. Step 2: Convert to fraction form
    827,011/1,780,734 = 1,780,734/x
  3. Step 3: Cross multiply
    827,011x = 1,780,734 × 1,780,734
  4. Step 4: Simplify right side
    827,011x = 3,171,013,578,756
  5. Step 5: Solve for x
    x = 3,171,013,578,756/827,011
  6. Step 6: Final answer
    x = 3,834,306.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.