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Finding the Third Proportional to 654,863.06 and 1,431,467.44

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Solution

The third proportional to 654,863.06 and 1,431,467.44 is: 3,129,049.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,863.06 : 1,431,467.44 = 1,431,467.44 : x
  2. Step 2: Convert to fraction form
    654,863.06/1,431,467.44 = 1,431,467.44/x
  3. Step 3: Cross multiply
    654,863.06x = 1,431,467.44 × 1,431,467.44
  4. Step 4: Simplify right side
    654,863.06x = 2,049,099,024,622.82
  5. Step 5: Solve for x
    x = 2,049,099,024,622.82/654,863.06
  6. Step 6: Final answer
    x = 3,129,049.63

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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.