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Finding the Third Proportional to 2,852,838 and 5,836,836

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Solution

The third proportional to 2,852,838 and 5,836,836 is: 11,942,022.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,852,838 : 5,836,836 = 5,836,836 : x
  2. Step 2: Convert to fraction form
    2,852,838/5,836,836 = 5,836,836/x
  3. Step 3: Cross multiply
    2,852,838x = 5,836,836 × 5,836,836
  4. Step 4: Simplify right side
    2,852,838x = 34,068,654,490,896
  5. Step 5: Solve for x
    x = 34,068,654,490,896/2,852,838
  6. Step 6: Final answer
    x = 11,942,022.12

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.