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Finding the Third Proportional to 422,597.25 and 922,830.75

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Solution

The third proportional to 422,597.25 and 922,830.75 is: 2,015,196.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,597.25 : 922,830.75 = 922,830.75 : x
  2. Step 2: Convert to fraction form
    422,597.25/922,830.75 = 922,830.75/x
  3. Step 3: Cross multiply
    422,597.25x = 922,830.75 × 922,830.75
  4. Step 4: Simplify right side
    422,597.25x = 851,616,593,145.56
  5. Step 5: Solve for x
    x = 851,616,593,145.56/422,597.25
  6. Step 6: Final answer
    x = 2,015,196.72

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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.