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Finding the Third Proportional to 466,815.66 and 1,024,027.31

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Solution

The third proportional to 466,815.66 and 1,024,027.31 is: 2,246,351.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,815.66 : 1,024,027.31 = 1,024,027.31 : x
  2. Step 2: Convert to fraction form
    466,815.66/1,024,027.31 = 1,024,027.31/x
  3. Step 3: Cross multiply
    466,815.66x = 1,024,027.31 × 1,024,027.31
  4. Step 4: Simplify right side
    466,815.66x = 1,048,631,936,745.97
  5. Step 5: Solve for x
    x = 1,048,631,936,745.97/466,815.66
  6. Step 6: Final answer
    x = 2,246,351.26

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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.