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Finding the Third Proportional to 734,652 and 1,135,225

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Solution

The third proportional to 734,652 and 1,135,225 is: 1,754,212.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,652 : 1,135,225 = 1,135,225 : x
  2. Step 2: Convert to fraction form
    734,652/1,135,225 = 1,135,225/x
  3. Step 3: Cross multiply
    734,652x = 1,135,225 × 1,135,225
  4. Step 4: Simplify right side
    734,652x = 1,288,735,800,625
  5. Step 5: Solve for x
    x = 1,288,735,800,625/734,652
  6. Step 6: Final answer
    x = 1,754,212.61

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.