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Finding the Third Proportional to 1,092,224 and 2,394,401

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Solution

The third proportional to 1,092,224 and 2,394,401 is: 5,249,066.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092,224 : 2,394,401 = 2,394,401 : x
  2. Step 2: Convert to fraction form
    1,092,224/2,394,401 = 2,394,401/x
  3. Step 3: Cross multiply
    1,092,224x = 2,394,401 × 2,394,401
  4. Step 4: Simplify right side
    1,092,224x = 5,733,156,148,801
  5. Step 5: Solve for x
    x = 5,733,156,148,801/1,092,224
  6. Step 6: Final answer
    x = 5,249,066.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.