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Finding the Third Proportional to 985,497.75 and 1,089,177.75

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Solution

The third proportional to 985,497.75 and 1,089,177.75 is: 1,203,765.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    985,497.75 : 1,089,177.75 = 1,089,177.75 : x
  2. Step 2: Convert to fraction form
    985,497.75/1,089,177.75 = 1,089,177.75/x
  3. Step 3: Cross multiply
    985,497.75x = 1,089,177.75 × 1,089,177.75
  4. Step 4: Simplify right side
    985,497.75x = 1,186,308,171,095.06
  5. Step 5: Solve for x
    x = 1,186,308,171,095.06/985,497.75
  6. Step 6: Final answer
    x = 1,203,765.48

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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.