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Finding the Third Proportional to 422,838 and 921,993.75

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Solution

The third proportional to 422,838 and 921,993.75 is: 2,010,397.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,838 : 921,993.75 = 921,993.75 : x
  2. Step 2: Convert to fraction form
    422,838/921,993.75 = 921,993.75/x
  3. Step 3: Cross multiply
    422,838x = 921,993.75 × 921,993.75
  4. Step 4: Simplify right side
    422,838x = 850,072,475,039.06
  5. Step 5: Solve for x
    x = 850,072,475,039.06/422,838
  6. Step 6: Final answer
    x = 2,010,397.54

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