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Finding the Third Proportional to 1,440.36 and 1,946.03

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Solution

The third proportional to 1,440.36 and 1,946.03 is: 2,629.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440.36 : 1,946.03 = 1,946.03 : x
  2. Step 2: Convert to fraction form
    1,440.36/1,946.03 = 1,946.03/x
  3. Step 3: Cross multiply
    1,440.36x = 1,946.03 × 1,946.03
  4. Step 4: Simplify right side
    1,440.36x = 3,787,033.83
  5. Step 5: Solve for x
    x = 3,787,033.83/1,440.36
  6. Step 6: Final answer
    x = 2,629.23

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.