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Finding the Third Proportional to 967,175.44 and 1,453,193.16

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Solution

The third proportional to 967,175.44 and 1,453,193.16 is: 2,183,440.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    967,175.44 : 1,453,193.16 = 1,453,193.16 : x
  2. Step 2: Convert to fraction form
    967,175.44/1,453,193.16 = 1,453,193.16/x
  3. Step 3: Cross multiply
    967,175.44x = 1,453,193.16 × 1,453,193.16
  4. Step 4: Simplify right side
    967,175.44x = 2,111,770,349,371.84
  5. Step 5: Solve for x
    x = 2,111,770,349,371.84/967,175.44
  6. Step 6: Final answer
    x = 2,183,440.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.