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Finding the Third Proportional to 3,419,052.50 and 5,413,982.50

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Solution

The third proportional to 3,419,052.50 and 5,413,982.50 is: 8,572,903.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,419,052.50 : 5,413,982.50 = 5,413,982.50 : x
  2. Step 2: Convert to fraction form
    3,419,052.50/5,413,982.50 = 5,413,982.50/x
  3. Step 3: Cross multiply
    3,419,052.50x = 5,413,982.50 × 5,413,982.50
  4. Step 4: Simplify right side
    3,419,052.50x = 29,311,206,510,306.25
  5. Step 5: Solve for x
    x = 29,311,206,510,306.25/3,419,052.50
  6. Step 6: Final answer
    x = 8,572,903.31

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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.