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Finding the Third Proportional to 1,908,456 and 4,115,824

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Solution

The third proportional to 1,908,456 and 4,115,824 is: 8,876,289.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,908,456 : 4,115,824 = 4,115,824 : x
  2. Step 2: Convert to fraction form
    1,908,456/4,115,824 = 4,115,824/x
  3. Step 3: Cross multiply
    1,908,456x = 4,115,824 × 4,115,824
  4. Step 4: Simplify right side
    1,908,456x = 16,940,007,198,976
  5. Step 5: Solve for x
    x = 16,940,007,198,976/1,908,456
  6. Step 6: Final answer
    x = 8,876,289.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.