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Finding the Third Proportional to 877.78 and 1,922.06

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Solution

The third proportional to 877.78 and 1,922.06 is: 4,208.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.78 : 1,922.06 = 1,922.06 : x
  2. Step 2: Convert to fraction form
    877.78/1,922.06 = 1,922.06/x
  3. Step 3: Cross multiply
    877.78x = 1,922.06 × 1,922.06
  4. Step 4: Simplify right side
    877.78x = 3,694,324.25
  5. Step 5: Solve for x
    x = 3,694,324.25/877.78
  6. Step 6: Final answer
    x = 4,208.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.