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Finding the Third Proportional to 1,604.81 and 1,899.07

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Solution

The third proportional to 1,604.81 and 1,899.07 is: 2,247.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,604.81 : 1,899.07 = 1,899.07 : x
  2. Step 2: Convert to fraction form
    1,604.81/1,899.07 = 1,899.07/x
  3. Step 3: Cross multiply
    1,604.81x = 1,899.07 × 1,899.07
  4. Step 4: Simplify right side
    1,604.81x = 3,606,468.05
  5. Step 5: Solve for x
    x = 3,606,468.05/1,604.81
  6. Step 6: Final answer
    x = 2,247.28

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These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.