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Finding the Third Proportional to 585,668 and 1,187,634

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Solution

The third proportional to 585,668 and 1,187,634 is: 2,408,317.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,668 : 1,187,634 = 1,187,634 : x
  2. Step 2: Convert to fraction form
    585,668/1,187,634 = 1,187,634/x
  3. Step 3: Cross multiply
    585,668x = 1,187,634 × 1,187,634
  4. Step 4: Simplify right side
    585,668x = 1,410,474,517,956
  5. Step 5: Solve for x
    x = 1,410,474,517,956/585,668
  6. Step 6: Final answer
    x = 2,408,317.54

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.