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Finding the Third Proportional to 1,866,027 and 3,897,718

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Solution

The third proportional to 1,866,027 and 3,897,718 is: 8,141,471.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,866,027 : 3,897,718 = 3,897,718 : x
  2. Step 2: Convert to fraction form
    1,866,027/3,897,718 = 3,897,718/x
  3. Step 3: Cross multiply
    1,866,027x = 3,897,718 × 3,897,718
  4. Step 4: Simplify right side
    1,866,027x = 15,192,205,607,524
  5. Step 5: Solve for x
    x = 15,192,205,607,524/1,866,027
  6. Step 6: Final answer
    x = 8,141,471.48

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.