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Finding the Third Proportional to 1,054.69 and 1,519.17

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Solution

The third proportional to 1,054.69 and 1,519.17 is: 2,188.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.69 : 1,519.17 = 1,519.17 : x
  2. Step 2: Convert to fraction form
    1,054.69/1,519.17 = 1,519.17/x
  3. Step 3: Cross multiply
    1,054.69x = 1,519.17 × 1,519.17
  4. Step 4: Simplify right side
    1,054.69x = 2,307,883.19
  5. Step 5: Solve for x
    x = 2,307,883.19/1,054.69
  6. Step 6: Final answer
    x = 2,188.22

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.