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Finding the Third Proportional to 1,836,633 and 4,288,836

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Solution

The third proportional to 1,836,633 and 4,288,836 is: 10,015,127.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,836,633 : 4,288,836 = 4,288,836 : x
  2. Step 2: Convert to fraction form
    1,836,633/4,288,836 = 4,288,836/x
  3. Step 3: Cross multiply
    1,836,633x = 4,288,836 × 4,288,836
  4. Step 4: Simplify right side
    1,836,633x = 18,394,114,234,896
  5. Step 5: Solve for x
    x = 18,394,114,234,896/1,836,633
  6. Step 6: Final answer
    x = 10,015,127.81

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.