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Finding the Third Proportional to 965,839.50 and 1,311,741

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Solution

The third proportional to 965,839.50 and 1,311,741 is: 1,781,522.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,839.50 : 1,311,741 = 1,311,741 : x
  2. Step 2: Convert to fraction form
    965,839.50/1,311,741 = 1,311,741/x
  3. Step 3: Cross multiply
    965,839.50x = 1,311,741 × 1,311,741
  4. Step 4: Simplify right side
    965,839.50x = 1,720,664,451,081
  5. Step 5: Solve for x
    x = 1,720,664,451,081/965,839.50
  6. Step 6: Final answer
    x = 1,781,522.14

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.