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Finding the Third Proportional to 733,302 and 1,591,020

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Solution

The third proportional to 733,302 and 1,591,020 is: 3,451,981.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,302 : 1,591,020 = 1,591,020 : x
  2. Step 2: Convert to fraction form
    733,302/1,591,020 = 1,591,020/x
  3. Step 3: Cross multiply
    733,302x = 1,591,020 × 1,591,020
  4. Step 4: Simplify right side
    733,302x = 2,531,344,640,400
  5. Step 5: Solve for x
    x = 2,531,344,640,400/733,302
  6. Step 6: Final answer
    x = 3,451,981.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.