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Finding the Third Proportional to 458,647.75 and 972,790.75

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Solution

The third proportional to 458,647.75 and 972,790.75 is: 2,063,286.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,647.75 : 972,790.75 = 972,790.75 : x
  2. Step 2: Convert to fraction form
    458,647.75/972,790.75 = 972,790.75/x
  3. Step 3: Cross multiply
    458,647.75x = 972,790.75 × 972,790.75
  4. Step 4: Simplify right side
    458,647.75x = 946,321,843,285.56
  5. Step 5: Solve for x
    x = 946,321,843,285.56/458,647.75
  6. Step 6: Final answer
    x = 2,063,286.79

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.