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Finding the Third Proportional to 768,864 and 1,183,398

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Solution

The third proportional to 768,864 and 1,183,398 is: 1,821,428.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    768,864 : 1,183,398 = 1,183,398 : x
  2. Step 2: Convert to fraction form
    768,864/1,183,398 = 1,183,398/x
  3. Step 3: Cross multiply
    768,864x = 1,183,398 × 1,183,398
  4. Step 4: Simplify right side
    768,864x = 1,400,430,826,404
  5. Step 5: Solve for x
    x = 1,400,430,826,404/768,864
  6. Step 6: Final answer
    x = 1,821,428.53

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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.