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Finding the Third Proportional to 606,211 and 882,662

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Solution

The third proportional to 606,211 and 882,662 is: 1,285,183.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    606,211 : 882,662 = 882,662 : x
  2. Step 2: Convert to fraction form
    606,211/882,662 = 882,662/x
  3. Step 3: Cross multiply
    606,211x = 882,662 × 882,662
  4. Step 4: Simplify right side
    606,211x = 779,092,206,244
  5. Step 5: Solve for x
    x = 779,092,206,244/606,211
  6. Step 6: Final answer
    x = 1,285,183.22

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.