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Finding the Third Proportional to 812,886 and 1,882,401

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Solution

The third proportional to 812,886 and 1,882,401 is: 4,359,078.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,886 : 1,882,401 = 1,882,401 : x
  2. Step 2: Convert to fraction form
    812,886/1,882,401 = 1,882,401/x
  3. Step 3: Cross multiply
    812,886x = 1,882,401 × 1,882,401
  4. Step 4: Simplify right side
    812,886x = 3,543,433,524,801
  5. Step 5: Solve for x
    x = 3,543,433,524,801/812,886
  6. Step 6: Final answer
    x = 4,359,078.06

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.