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Finding the Third Proportional to 880.88 and 1,898.44

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Solution

The third proportional to 880.88 and 1,898.44 is: 4,091.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    880.88 : 1,898.44 = 1,898.44 : x
  2. Step 2: Convert to fraction form
    880.88/1,898.44 = 1,898.44/x
  3. Step 3: Cross multiply
    880.88x = 1,898.44 × 1,898.44
  4. Step 4: Simplify right side
    880.88x = 3,604,064.94
  5. Step 5: Solve for x
    x = 3,604,064.94/880.88
  6. Step 6: Final answer
    x = 4,091.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.