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Finding the Third Proportional to 773,839 and 1,183,655

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Solution

The third proportional to 773,839 and 1,183,655 is: 1,810,504.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    773,839 : 1,183,655 = 1,183,655 : x
  2. Step 2: Convert to fraction form
    773,839/1,183,655 = 1,183,655/x
  3. Step 3: Cross multiply
    773,839x = 1,183,655 × 1,183,655
  4. Step 4: Simplify right side
    773,839x = 1,401,039,159,025
  5. Step 5: Solve for x
    x = 1,401,039,159,025/773,839
  6. Step 6: Final answer
    x = 1,810,504.72

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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.