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Finding the Third Proportional to 667,162 and 983,097

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Solution

The third proportional to 667,162 and 983,097 is: 1,448,643.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,162 : 983,097 = 983,097 : x
  2. Step 2: Convert to fraction form
    667,162/983,097 = 983,097/x
  3. Step 3: Cross multiply
    667,162x = 983,097 × 983,097
  4. Step 4: Simplify right side
    667,162x = 966,479,711,409
  5. Step 5: Solve for x
    x = 966,479,711,409/667,162
  6. Step 6: Final answer
    x = 1,448,643.23

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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.