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Finding the Third Proportional to 458,073 and 997,458.75

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Solution

The third proportional to 458,073 and 997,458.75 is: 2,171,976.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,073 : 997,458.75 = 997,458.75 : x
  2. Step 2: Convert to fraction form
    458,073/997,458.75 = 997,458.75/x
  3. Step 3: Cross multiply
    458,073x = 997,458.75 × 997,458.75
  4. Step 4: Simplify right side
    458,073x = 994,923,957,951.56
  5. Step 5: Solve for x
    x = 994,923,957,951.56/458,073
  6. Step 6: Final answer
    x = 2,171,976.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.