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Finding the Third Proportional to 1,218,828 and 2,821,200

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Solution

The third proportional to 1,218,828 and 2,821,200 is: 6,530,182.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218,828 : 2,821,200 = 2,821,200 : x
  2. Step 2: Convert to fraction form
    1,218,828/2,821,200 = 2,821,200/x
  3. Step 3: Cross multiply
    1,218,828x = 2,821,200 × 2,821,200
  4. Step 4: Simplify right side
    1,218,828x = 7,959,169,440,000
  5. Step 5: Solve for x
    x = 7,959,169,440,000/1,218,828
  6. Step 6: Final answer
    x = 6,530,182.63

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.