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Finding the Third Proportional to 2,220,932 and 4,822,401

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Solution

The third proportional to 2,220,932 and 4,822,401 is: 10,471,077.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,220,932 : 4,822,401 = 4,822,401 : x
  2. Step 2: Convert to fraction form
    2,220,932/4,822,401 = 4,822,401/x
  3. Step 3: Cross multiply
    2,220,932x = 4,822,401 × 4,822,401
  4. Step 4: Simplify right side
    2,220,932x = 23,255,551,404,801
  5. Step 5: Solve for x
    x = 23,255,551,404,801/2,220,932
  6. Step 6: Final answer
    x = 10,471,077.64

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.