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Finding the Third Proportional to 397,011 and 937,061.25

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Solution

The third proportional to 397,011 and 937,061.25 is: 2,211,736.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,011 : 937,061.25 = 937,061.25 : x
  2. Step 2: Convert to fraction form
    397,011/937,061.25 = 937,061.25/x
  3. Step 3: Cross multiply
    397,011x = 937,061.25 × 937,061.25
  4. Step 4: Simplify right side
    397,011x = 878,083,786,251.56
  5. Step 5: Solve for x
    x = 878,083,786,251.56/397,011
  6. Step 6: Final answer
    x = 2,211,736.67

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.