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Finding the Third Proportional to 768,942 and 1,183,530

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Solution

The third proportional to 768,942 and 1,183,530 is: 1,821,650.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,942 : 1,183,530 = 1,183,530 : x
  2. Step 2: Convert to fraction form
    768,942/1,183,530 = 1,183,530/x
  3. Step 3: Cross multiply
    768,942x = 1,183,530 × 1,183,530
  4. Step 4: Simplify right side
    768,942x = 1,400,743,260,900
  5. Step 5: Solve for x
    x = 1,400,743,260,900/768,942
  6. Step 6: Final answer
    x = 1,821,650.09

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.