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Finding the Third Proportional to 2,108,870 and 4,367,268

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Solution

The third proportional to 2,108,870 and 4,367,268 is: 9,044,194.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,108,870 : 4,367,268 = 4,367,268 : x
  2. Step 2: Convert to fraction form
    2,108,870/4,367,268 = 4,367,268/x
  3. Step 3: Cross multiply
    2,108,870x = 4,367,268 × 4,367,268
  4. Step 4: Simplify right side
    2,108,870x = 19,073,029,783,824
  5. Step 5: Solve for x
    x = 19,073,029,783,824/2,108,870
  6. Step 6: Final answer
    x = 9,044,194.18

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.