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Finding the Third Proportional to 3,781,409.50 and 5,717,135

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Solution

The third proportional to 3,781,409.50 and 5,717,135 is: 8,643,769.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,781,409.50 : 5,717,135 = 5,717,135 : x
  2. Step 2: Convert to fraction form
    3,781,409.50/5,717,135 = 5,717,135/x
  3. Step 3: Cross multiply
    3,781,409.50x = 5,717,135 × 5,717,135
  4. Step 4: Simplify right side
    3,781,409.50x = 32,685,632,608,225
  5. Step 5: Solve for x
    x = 32,685,632,608,225/3,781,409.50
  6. Step 6: Final answer
    x = 8,643,769.63

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.