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Finding the Third Proportional to 1,990.69 and 2,784.09

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Solution

The third proportional to 1,990.69 and 2,784.09 is: 3,893.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,990.69 : 2,784.09 = 2,784.09 : x
  2. Step 2: Convert to fraction form
    1,990.69/2,784.09 = 2,784.09/x
  3. Step 3: Cross multiply
    1,990.69x = 2,784.09 × 2,784.09
  4. Step 4: Simplify right side
    1,990.69x = 7,751,178.01
  5. Step 5: Solve for x
    x = 7,751,178.01/1,990.69
  6. Step 6: Final answer
    x = 3,893.72

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.