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Finding the Third Proportional to 1,926,002 and 4,100,836

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Solution

The third proportional to 1,926,002 and 4,100,836 is: 8,731,484.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,926,002 : 4,100,836 = 4,100,836 : x
  2. Step 2: Convert to fraction form
    1,926,002/4,100,836 = 4,100,836/x
  3. Step 3: Cross multiply
    1,926,002x = 4,100,836 × 4,100,836
  4. Step 4: Simplify right side
    1,926,002x = 16,816,855,898,896
  5. Step 5: Solve for x
    x = 16,816,855,898,896/1,926,002
  6. Step 6: Final answer
    x = 8,731,484.13

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.