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Finding the Third Proportional to 944.44 and 2,071.69

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Solution

The third proportional to 944.44 and 2,071.69 is: 4,544.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    944.44 : 2,071.69 = 2,071.69 : x
  2. Step 2: Convert to fraction form
    944.44/2,071.69 = 2,071.69/x
  3. Step 3: Cross multiply
    944.44x = 2,071.69 × 2,071.69
  4. Step 4: Simplify right side
    944.44x = 4,291,889.10
  5. Step 5: Solve for x
    x = 4,291,889.10/944.44
  6. Step 6: Final answer
    x = 4,544.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.