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Finding the Third Proportional to 1,196.02 and 1,845.99

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Solution

The third proportional to 1,196.02 and 1,845.99 is: 2,849.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.02 : 1,845.99 = 1,845.99 : x
  2. Step 2: Convert to fraction form
    1,196.02/1,845.99 = 1,845.99/x
  3. Step 3: Cross multiply
    1,196.02x = 1,845.99 × 1,845.99
  4. Step 4: Simplify right side
    1,196.02x = 3,407,690.76
  5. Step 5: Solve for x
    x = 3,407,690.76/1,196.02
  6. Step 6: Final answer
    x = 2,849.20

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.