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Finding the Third Proportional to 542,023.50 and 1,145,094

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Solution

The third proportional to 542,023.50 and 1,145,094 is: 2,419,157.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,023.50 : 1,145,094 = 1,145,094 : x
  2. Step 2: Convert to fraction form
    542,023.50/1,145,094 = 1,145,094/x
  3. Step 3: Cross multiply
    542,023.50x = 1,145,094 × 1,145,094
  4. Step 4: Simplify right side
    542,023.50x = 1,311,240,268,836
  5. Step 5: Solve for x
    x = 1,311,240,268,836/542,023.50
  6. Step 6: Final answer
    x = 2,419,157.60

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.