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Finding the Third Proportional to 491,616 and 1,040,832

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Solution

The third proportional to 491,616 and 1,040,832 is: 2,203,612.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,616 : 1,040,832 = 1,040,832 : x
  2. Step 2: Convert to fraction form
    491,616/1,040,832 = 1,040,832/x
  3. Step 3: Cross multiply
    491,616x = 1,040,832 × 1,040,832
  4. Step 4: Simplify right side
    491,616x = 1,083,331,252,224
  5. Step 5: Solve for x
    x = 1,083,331,252,224/491,616
  6. Step 6: Final answer
    x = 2,203,612.68

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.