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Finding the Third Proportional to 605,589 and 1,273,911

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Solution

The third proportional to 605,589 and 1,273,911 is: 2,679,786.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,589 : 1,273,911 = 1,273,911 : x
  2. Step 2: Convert to fraction form
    605,589/1,273,911 = 1,273,911/x
  3. Step 3: Cross multiply
    605,589x = 1,273,911 × 1,273,911
  4. Step 4: Simplify right side
    605,589x = 1,622,849,235,921
  5. Step 5: Solve for x
    x = 1,622,849,235,921/605,589
  6. Step 6: Final answer
    x = 2,679,786.52

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.