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Finding the Third Proportional to 1,019.14 and 2,222.44

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Solution

The third proportional to 1,019.14 and 2,222.44 is: 4,846.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,019.14 : 2,222.44 = 2,222.44 : x
  2. Step 2: Convert to fraction form
    1,019.14/2,222.44 = 2,222.44/x
  3. Step 3: Cross multiply
    1,019.14x = 2,222.44 × 2,222.44
  4. Step 4: Simplify right side
    1,019.14x = 4,939,228.44
  5. Step 5: Solve for x
    x = 4,939,228.44/1,019.14
  6. Step 6: Final answer
    x = 4,846.45

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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.