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Finding the Third Proportional to 733,144 and 1,135,176

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Solution

The third proportional to 733,144 and 1,135,176 is: 1,757,669.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,144 : 1,135,176 = 1,135,176 : x
  2. Step 2: Convert to fraction form
    733,144/1,135,176 = 1,135,176/x
  3. Step 3: Cross multiply
    733,144x = 1,135,176 × 1,135,176
  4. Step 4: Simplify right side
    733,144x = 1,288,624,550,976
  5. Step 5: Solve for x
    x = 1,288,624,550,976/733,144
  6. Step 6: Final answer
    x = 1,757,669.09

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Why These Related Problems?

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