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Finding the Third Proportional to 992.44 and 1,894.69

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Solution

The third proportional to 992.44 and 1,894.69 is: 3,617.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    992.44 : 1,894.69 = 1,894.69 : x
  2. Step 2: Convert to fraction form
    992.44/1,894.69 = 1,894.69/x
  3. Step 3: Cross multiply
    992.44x = 1,894.69 × 1,894.69
  4. Step 4: Simplify right side
    992.44x = 3,589,840.72
  5. Step 5: Solve for x
    x = 3,589,840.72/992.44
  6. Step 6: Final answer
    x = 3,617.20

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.