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Finding the Third Proportional to 491,163.75 and 1,085,562

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Solution

The third proportional to 491,163.75 and 1,085,562 is: 2,399,291.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,163.75 : 1,085,562 = 1,085,562 : x
  2. Step 2: Convert to fraction form
    491,163.75/1,085,562 = 1,085,562/x
  3. Step 3: Cross multiply
    491,163.75x = 1,085,562 × 1,085,562
  4. Step 4: Simplify right side
    491,163.75x = 1,178,444,855,844
  5. Step 5: Solve for x
    x = 1,178,444,855,844/491,163.75
  6. Step 6: Final answer
    x = 2,399,291.19

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.