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Finding the Third Proportional to 2,660,836 and 5,836,744

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Solution

The third proportional to 2,660,836 and 5,836,744 is: 12,803,337.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,660,836 : 5,836,744 = 5,836,744 : x
  2. Step 2: Convert to fraction form
    2,660,836/5,836,744 = 5,836,744/x
  3. Step 3: Cross multiply
    2,660,836x = 5,836,744 × 5,836,744
  4. Step 4: Simplify right side
    2,660,836x = 34,067,580,521,536
  5. Step 5: Solve for x
    x = 34,067,580,521,536/2,660,836
  6. Step 6: Final answer
    x = 12,803,337.19

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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.