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Finding the Third Proportional to 1,212,736 and 2,640,624

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Solution

The third proportional to 1,212,736 and 2,640,624 is: 5,749,722.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212,736 : 2,640,624 = 2,640,624 : x
  2. Step 2: Convert to fraction form
    1,212,736/2,640,624 = 2,640,624/x
  3. Step 3: Cross multiply
    1,212,736x = 2,640,624 × 2,640,624
  4. Step 4: Simplify right side
    1,212,736x = 6,972,895,109,376
  5. Step 5: Solve for x
    x = 6,972,895,109,376/1,212,736
  6. Step 6: Final answer
    x = 5,749,722.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.