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Finding the Third Proportional to 687,584.50 and 1,493,496

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Solution

The third proportional to 687,584.50 and 1,493,496 is: 3,244,008.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,584.50 : 1,493,496 = 1,493,496 : x
  2. Step 2: Convert to fraction form
    687,584.50/1,493,496 = 1,493,496/x
  3. Step 3: Cross multiply
    687,584.50x = 1,493,496 × 1,493,496
  4. Step 4: Simplify right side
    687,584.50x = 2,230,530,302,016
  5. Step 5: Solve for x
    x = 2,230,530,302,016/687,584.50
  6. Step 6: Final answer
    x = 3,244,008.99

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.