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Finding the Third Proportional to 695,614.50 and 1,510,197.75

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Solution

The third proportional to 695,614.50 and 1,510,197.75 is: 3,278,679.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    695,614.50 : 1,510,197.75 = 1,510,197.75 : x
  2. Step 2: Convert to fraction form
    695,614.50/1,510,197.75 = 1,510,197.75/x
  3. Step 3: Cross multiply
    695,614.50x = 1,510,197.75 × 1,510,197.75
  4. Step 4: Simplify right side
    695,614.50x = 2,280,697,244,105.06
  5. Step 5: Solve for x
    x = 2,280,697,244,105.06/695,614.50
  6. Step 6: Final answer
    x = 3,278,679.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.