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Finding the Third Proportional to 655,255.13 and 1,401,591.38

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Solution

The third proportional to 655,255.13 and 1,401,591.38 is: 2,998,005.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    655,255.13 : 1,401,591.38 = 1,401,591.38 : x
  2. Step 2: Convert to fraction form
    655,255.13/1,401,591.38 = 1,401,591.38/x
  3. Step 3: Cross multiply
    655,255.13x = 1,401,591.38 × 1,401,591.38
  4. Step 4: Simplify right side
    655,255.13x = 1,964,458,382,474.39
  5. Step 5: Solve for x
    x = 1,964,458,382,474.39/655,255.13
  6. Step 6: Final answer
    x = 2,998,005.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.