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Finding the Third Proportional to 906.19 and 2,245.22

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Solution

The third proportional to 906.19 and 2,245.22 is: 5,562.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.19 : 2,245.22 = 2,245.22 : x
  2. Step 2: Convert to fraction form
    906.19/2,245.22 = 2,245.22/x
  3. Step 3: Cross multiply
    906.19x = 2,245.22 × 2,245.22
  4. Step 4: Simplify right side
    906.19x = 5,041,007.24
  5. Step 5: Solve for x
    x = 5,041,007.24/906.19
  6. Step 6: Final answer
    x = 5,562.87

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Why These Related Problems?

These problems maintain the same ratio (2.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.