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Finding the Third Proportional to 667,166 and 983,103

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Solution

The third proportional to 667,166 and 983,103 is: 1,448,652.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,166 : 983,103 = 983,103 : x
  2. Step 2: Convert to fraction form
    667,166/983,103 = 983,103/x
  3. Step 3: Cross multiply
    667,166x = 983,103 × 983,103
  4. Step 4: Simplify right side
    667,166x = 966,491,508,609
  5. Step 5: Solve for x
    x = 966,491,508,609/667,166
  6. Step 6: Final answer
    x = 1,448,652.22

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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.