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Finding the Third Proportional to 827,867 and 1,786,376

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Solution

The third proportional to 827,867 and 1,786,376 is: 3,854,652.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,867 : 1,786,376 = 1,786,376 : x
  2. Step 2: Convert to fraction form
    827,867/1,786,376 = 1,786,376/x
  3. Step 3: Cross multiply
    827,867x = 1,786,376 × 1,786,376
  4. Step 4: Simplify right side
    827,867x = 3,191,139,213,376
  5. Step 5: Solve for x
    x = 3,191,139,213,376/827,867
  6. Step 6: Final answer
    x = 3,854,652.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.