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Finding the Third Proportional to 667,170 and 983,109

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Solution

The third proportional to 667,170 and 983,109 is: 1,448,661.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,170 : 983,109 = 983,109 : x
  2. Step 2: Convert to fraction form
    667,170/983,109 = 983,109/x
  3. Step 3: Cross multiply
    667,170x = 983,109 × 983,109
  4. Step 4: Simplify right side
    667,170x = 966,503,305,881
  5. Step 5: Solve for x
    x = 966,503,305,881/667,170
  6. Step 6: Final answer
    x = 1,448,661.22

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.