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Finding the Third Proportional to 552,096 and 1,188,661.50

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Solution

The third proportional to 552,096 and 1,188,661.50 is: 2,559,185.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,096 : 1,188,661.50 = 1,188,661.50 : x
  2. Step 2: Convert to fraction form
    552,096/1,188,661.50 = 1,188,661.50/x
  3. Step 3: Cross multiply
    552,096x = 1,188,661.50 × 1,188,661.50
  4. Step 4: Simplify right side
    552,096x = 1,412,916,161,582.25
  5. Step 5: Solve for x
    x = 1,412,916,161,582.25/552,096
  6. Step 6: Final answer
    x = 2,559,185.65

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.