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Finding the Third Proportional to 686,839.50 and 1,510,707.38

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Solution

The third proportional to 686,839.50 and 1,510,707.38 is: 3,322,809.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,839.50 : 1,510,707.38 = 1,510,707.38 : x
  2. Step 2: Convert to fraction form
    686,839.50/1,510,707.38 = 1,510,707.38/x
  3. Step 3: Cross multiply
    686,839.50x = 1,510,707.38 × 1,510,707.38
  4. Step 4: Simplify right side
    686,839.50x = 2,282,236,772,879.39
  5. Step 5: Solve for x
    x = 2,282,236,772,879.39/686,839.50
  6. Step 6: Final answer
    x = 3,322,809.44

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.