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Finding the Third Proportional to 823,872 and 1,780,990

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Solution

The third proportional to 823,872 and 1,780,990 is: 3,850,022.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,872 : 1,780,990 = 1,780,990 : x
  2. Step 2: Convert to fraction form
    823,872/1,780,990 = 1,780,990/x
  3. Step 3: Cross multiply
    823,872x = 1,780,990 × 1,780,990
  4. Step 4: Simplify right side
    823,872x = 3,171,925,380,100
  5. Step 5: Solve for x
    x = 3,171,925,380,100/823,872
  6. Step 6: Final answer
    x = 3,850,022.07

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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.