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Finding the Third Proportional to 667,164 and 983,098

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Solution

The third proportional to 667,164 and 983,098 is: 1,448,641.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,164 : 983,098 = 983,098 : x
  2. Step 2: Convert to fraction form
    667,164/983,098 = 983,098/x
  3. Step 3: Cross multiply
    667,164x = 983,098 × 983,098
  4. Step 4: Simplify right side
    667,164x = 966,481,677,604
  5. Step 5: Solve for x
    x = 966,481,677,604/667,164
  6. Step 6: Final answer
    x = 1,448,641.83

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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.