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Finding the Third Proportional to 503,940 and 1,089,204

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Solution

The third proportional to 503,940 and 1,089,204 is: 2,354,179.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,940 : 1,089,204 = 1,089,204 : x
  2. Step 2: Convert to fraction form
    503,940/1,089,204 = 1,089,204/x
  3. Step 3: Cross multiply
    503,940x = 1,089,204 × 1,089,204
  4. Step 4: Simplify right side
    503,940x = 1,186,365,353,616
  5. Step 5: Solve for x
    x = 1,186,365,353,616/503,940
  6. Step 6: Final answer
    x = 2,354,179.77

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.