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Finding the Third Proportional to 1,942,568 and 4,121,836

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Solution

The third proportional to 1,942,568 and 4,121,836 is: 8,745,913.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,942,568 : 4,121,836 = 4,121,836 : x
  2. Step 2: Convert to fraction form
    1,942,568/4,121,836 = 4,121,836/x
  3. Step 3: Cross multiply
    1,942,568x = 4,121,836 × 4,121,836
  4. Step 4: Simplify right side
    1,942,568x = 16,989,532,010,896
  5. Step 5: Solve for x
    x = 16,989,532,010,896/1,942,568
  6. Step 6: Final answer
    x = 8,745,913.66

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.