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Finding the Third Proportional to 773,298 and 1,183,059

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Solution

The third proportional to 773,298 and 1,183,059 is: 1,809,947.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    773,298 : 1,183,059 = 1,183,059 : x
  2. Step 2: Convert to fraction form
    773,298/1,183,059 = 1,183,059/x
  3. Step 3: Cross multiply
    773,298x = 1,183,059 × 1,183,059
  4. Step 4: Simplify right side
    773,298x = 1,399,628,597,481
  5. Step 5: Solve for x
    x = 1,399,628,597,481/773,298
  6. Step 6: Final answer
    x = 1,809,947.26

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.