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Finding the Third Proportional to 733,170 and 1,533,376

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Solution

The third proportional to 733,170 and 1,533,376 is: 3,206,953.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,170 : 1,533,376 = 1,533,376 : x
  2. Step 2: Convert to fraction form
    733,170/1,533,376 = 1,533,376/x
  3. Step 3: Cross multiply
    733,170x = 1,533,376 × 1,533,376
  4. Step 4: Simplify right side
    733,170x = 2,351,241,957,376
  5. Step 5: Solve for x
    x = 2,351,241,957,376/733,170
  6. Step 6: Final answer
    x = 3,206,953.31

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.