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Finding the Third Proportional to 1,620.56 and 3,404.44

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Solution

The third proportional to 1,620.56 and 3,404.44 is: 7,151.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,620.56 : 3,404.44 = 3,404.44 : x
  2. Step 2: Convert to fraction form
    1,620.56/3,404.44 = 3,404.44/x
  3. Step 3: Cross multiply
    1,620.56x = 3,404.44 × 3,404.44
  4. Step 4: Simplify right side
    1,620.56x = 11,590,194.69
  5. Step 5: Solve for x
    x = 11,590,194.69/1,620.56
  6. Step 6: Final answer
    x = 7,151.96

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.