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Finding the Third Proportional to 624,115.13 and 1,463,103

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Solution

The third proportional to 624,115.13 and 1,463,103 is: 3,429,928.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,115.13 : 1,463,103 = 1,463,103 : x
  2. Step 2: Convert to fraction form
    624,115.13/1,463,103 = 1,463,103/x
  3. Step 3: Cross multiply
    624,115.13x = 1,463,103 × 1,463,103
  4. Step 4: Simplify right side
    624,115.13x = 2,140,670,388,609
  5. Step 5: Solve for x
    x = 2,140,670,388,609/624,115.13
  6. Step 6: Final answer
    x = 3,429,928.71

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.