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Finding the Third Proportional to 2,356,472.25 and 3,603,186.75

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Solution

The third proportional to 2,356,472.25 and 3,603,186.75 is: 5,509,487.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,356,472.25 : 3,603,186.75 = 3,603,186.75 : x
  2. Step 2: Convert to fraction form
    2,356,472.25/3,603,186.75 = 3,603,186.75/x
  3. Step 3: Cross multiply
    2,356,472.25x = 3,603,186.75 × 3,603,186.75
  4. Step 4: Simplify right side
    2,356,472.25x = 12,982,954,755,375.56
  5. Step 5: Solve for x
    x = 12,982,954,755,375.56/2,356,472.25
  6. Step 6: Final answer
    x = 5,509,487.65

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.