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Finding the Third Proportional to 1,440.56 and 1,920.09

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Solution

The third proportional to 1,440.56 and 1,920.09 is: 2,559.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,440.56 : 1,920.09 = 1,920.09 : x
  2. Step 2: Convert to fraction form
    1,440.56/1,920.09 = 1,920.09/x
  3. Step 3: Cross multiply
    1,440.56x = 1,920.09 × 1,920.09
  4. Step 4: Simplify right side
    1,440.56x = 3,686,760.01
  5. Step 5: Solve for x
    x = 3,686,760.01/1,440.56
  6. Step 6: Final answer
    x = 2,559.25

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.