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Finding the Third Proportional to 823,876 and 1,780,998

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Solution

The third proportional to 823,876 and 1,780,998 is: 3,850,037.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,876 : 1,780,998 = 1,780,998 : x
  2. Step 2: Convert to fraction form
    823,876/1,780,998 = 1,780,998/x
  3. Step 3: Cross multiply
    823,876x = 1,780,998 × 1,780,998
  4. Step 4: Simplify right side
    823,876x = 3,171,953,876,004
  5. Step 5: Solve for x
    x = 3,171,953,876,004/823,876
  6. Step 6: Final answer
    x = 3,850,037.96

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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.