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Finding the Third Proportional to 641,872.13 and 1,355,370.75

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Solution

The third proportional to 641,872.13 and 1,355,370.75 is: 2,861,987.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,872.13 : 1,355,370.75 = 1,355,370.75 : x
  2. Step 2: Convert to fraction form
    641,872.13/1,355,370.75 = 1,355,370.75/x
  3. Step 3: Cross multiply
    641,872.13x = 1,355,370.75 × 1,355,370.75
  4. Step 4: Simplify right side
    641,872.13x = 1,837,029,869,955.56
  5. Step 5: Solve for x
    x = 1,837,029,869,955.56/641,872.13
  6. Step 6: Final answer
    x = 2,861,987.30

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.