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Finding the Third Proportional to 2,195,750 and 3,324,243

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Solution

The third proportional to 2,195,750 and 3,324,243 is: 5,032,718.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,195,750 : 3,324,243 = 3,324,243 : x
  2. Step 2: Convert to fraction form
    2,195,750/3,324,243 = 3,324,243/x
  3. Step 3: Cross multiply
    2,195,750x = 3,324,243 × 3,324,243
  4. Step 4: Simplify right side
    2,195,750x = 11,050,591,523,049
  5. Step 5: Solve for x
    x = 11,050,591,523,049/2,195,750
  6. Step 6: Final answer
    x = 5,032,718.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.