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Finding the Third Proportional to 733,743 and 1,097,241

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Solution

The third proportional to 733,743 and 1,097,241 is: 1,640,816.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,743 : 1,097,241 = 1,097,241 : x
  2. Step 2: Convert to fraction form
    733,743/1,097,241 = 1,097,241/x
  3. Step 3: Cross multiply
    733,743x = 1,097,241 × 1,097,241
  4. Step 4: Simplify right side
    733,743x = 1,203,937,812,081
  5. Step 5: Solve for x
    x = 1,203,937,812,081/733,743
  6. Step 6: Final answer
    x = 1,640,816.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.