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Finding the Third Proportional to 827,006 and 1,780,727

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Solution

The third proportional to 827,006 and 1,780,727 is: 3,834,299.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,006 : 1,780,727 = 1,780,727 : x
  2. Step 2: Convert to fraction form
    827,006/1,780,727 = 1,780,727/x
  3. Step 3: Cross multiply
    827,006x = 1,780,727 × 1,780,727
  4. Step 4: Simplify right side
    827,006x = 3,170,988,648,529
  5. Step 5: Solve for x
    x = 3,170,988,648,529/827,006
  6. Step 6: Final answer
    x = 3,834,299.45

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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.