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Finding the Third Proportional to 773,286 and 1,183,041

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Solution

The third proportional to 773,286 and 1,183,041 is: 1,809,920.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    773,286 : 1,183,041 = 1,183,041 : x
  2. Step 2: Convert to fraction form
    773,286/1,183,041 = 1,183,041/x
  3. Step 3: Cross multiply
    773,286x = 1,183,041 × 1,183,041
  4. Step 4: Simplify right side
    773,286x = 1,399,586,007,681
  5. Step 5: Solve for x
    x = 1,399,586,007,681/773,286
  6. Step 6: Final answer
    x = 1,809,920.27

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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.