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Finding the Third Proportional to 532,086.75 and 1,089,036

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Solution

The third proportional to 532,086.75 and 1,089,036 is: 2,228,958.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,086.75 : 1,089,036 = 1,089,036 : x
  2. Step 2: Convert to fraction form
    532,086.75/1,089,036 = 1,089,036/x
  3. Step 3: Cross multiply
    532,086.75x = 1,089,036 × 1,089,036
  4. Step 4: Simplify right side
    532,086.75x = 1,185,999,409,296
  5. Step 5: Solve for x
    x = 1,185,999,409,296/532,086.75
  6. Step 6: Final answer
    x = 2,228,958.74

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.