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Finding the Third Proportional to 985,478 and 1,089,158

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Solution

The third proportional to 985,478 and 1,089,158 is: 1,203,745.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    985,478 : 1,089,158 = 1,089,158 : x
  2. Step 2: Convert to fraction form
    985,478/1,089,158 = 1,089,158/x
  3. Step 3: Cross multiply
    985,478x = 1,089,158 × 1,089,158
  4. Step 4: Simplify right side
    985,478x = 1,186,265,148,964
  5. Step 5: Solve for x
    x = 1,186,265,148,964/985,478
  6. Step 6: Final answer
    x = 1,203,745.95

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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.