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Finding the Third Proportional to 1,222.59 and 2,684.39

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Solution

The third proportional to 1,222.59 and 2,684.39 is: 5,893.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.59 : 2,684.39 = 2,684.39 : x
  2. Step 2: Convert to fraction form
    1,222.59/2,684.39 = 2,684.39/x
  3. Step 3: Cross multiply
    1,222.59x = 2,684.39 × 2,684.39
  4. Step 4: Simplify right side
    1,222.59x = 7,205,953.03
  5. Step 5: Solve for x
    x = 7,205,953.03/1,222.59
  6. Step 6: Final answer
    x = 5,893.99

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.