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Finding the Third Proportional to 733,024 and 1,526,720

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Solution

The third proportional to 733,024 and 1,526,720 is: 3,179,805.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,024 : 1,526,720 = 1,526,720 : x
  2. Step 2: Convert to fraction form
    733,024/1,526,720 = 1,526,720/x
  3. Step 3: Cross multiply
    733,024x = 1,526,720 × 1,526,720
  4. Step 4: Simplify right side
    733,024x = 2,330,873,958,400
  5. Step 5: Solve for x
    x = 2,330,873,958,400/733,024
  6. Step 6: Final answer
    x = 3,179,805.79

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.