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Finding the Third Proportional to 1,463,734.50 and 3,171,819

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Solution

The third proportional to 1,463,734.50 and 3,171,819 is: 6,873,128.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,463,734.50 : 3,171,819 = 3,171,819 : x
  2. Step 2: Convert to fraction form
    1,463,734.50/3,171,819 = 3,171,819/x
  3. Step 3: Cross multiply
    1,463,734.50x = 3,171,819 × 3,171,819
  4. Step 4: Simplify right side
    1,463,734.50x = 10,060,435,768,761
  5. Step 5: Solve for x
    x = 10,060,435,768,761/1,463,734.50
  6. Step 6: Final answer
    x = 6,873,128.81

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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.