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Finding the Third Proportional to 601,793 and 1,321,665.50

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Solution

The third proportional to 601,793 and 1,321,665.50 is: 2,902,658.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,793 : 1,321,665.50 = 1,321,665.50 : x
  2. Step 2: Convert to fraction form
    601,793/1,321,665.50 = 1,321,665.50/x
  3. Step 3: Cross multiply
    601,793x = 1,321,665.50 × 1,321,665.50
  4. Step 4: Simplify right side
    601,793x = 1,746,799,693,890.25
  5. Step 5: Solve for x
    x = 1,746,799,693,890.25/601,793
  6. Step 6: Final answer
    x = 2,902,658.71

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.