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Finding the Third Proportional to 491,627.16 and 1,072,617.56

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Solution

The third proportional to 491,627.16 and 1,072,617.56 is: 2,340,205.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,627.16 : 1,072,617.56 = 1,072,617.56 : x
  2. Step 2: Convert to fraction form
    491,627.16/1,072,617.56 = 1,072,617.56/x
  3. Step 3: Cross multiply
    491,627.16x = 1,072,617.56 × 1,072,617.56
  4. Step 4: Simplify right side
    491,627.16x = 1,150,508,435,383.44
  5. Step 5: Solve for x
    x = 1,150,508,435,383.44/491,627.16
  6. Step 6: Final answer
    x = 2,340,205.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.