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Finding the Third Proportional to 601,704.07 and 1,321,506.14

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Solution

The third proportional to 601,704.07 and 1,321,506.14 is: 2,902,387.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,704.07 : 1,321,506.14 = 1,321,506.14 : x
  2. Step 2: Convert to fraction form
    601,704.07/1,321,506.14 = 1,321,506.14/x
  3. Step 3: Cross multiply
    601,704.07x = 1,321,506.14 × 1,321,506.14
  4. Step 4: Simplify right side
    601,704.07x = 1,746,378,479,709.58
  5. Step 5: Solve for x
    x = 1,746,378,479,709.58/601,704.07
  6. Step 6: Final answer
    x = 2,902,387.68

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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.