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Finding the Third Proportional to 3,419,053.03 and 5,413,983.05

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Solution

The third proportional to 3,419,053.03 and 5,413,983.05 is: 8,572,903.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419,053.03 : 5,413,983.05 = 5,413,983.05 : x
  2. Step 2: Convert to fraction form
    3,419,053.03/5,413,983.05 = 5,413,983.05/x
  3. Step 3: Cross multiply
    3,419,053.03x = 5,413,983.05 × 5,413,983.05
  4. Step 4: Simplify right side
    3,419,053.03x = 29,311,212,431,849.91
  5. Step 5: Solve for x
    x = 29,311,212,431,849.91/3,419,053.03
  6. Step 6: Final answer
    x = 8,572,903.71

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.