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Finding the Third Proportional to 1,691,856 and 3,662,496

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Solution

The third proportional to 1,691,856 and 3,662,496 is: 7,928,498.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691,856 : 3,662,496 = 3,662,496 : x
  2. Step 2: Convert to fraction form
    1,691,856/3,662,496 = 3,662,496/x
  3. Step 3: Cross multiply
    1,691,856x = 3,662,496 × 3,662,496
  4. Step 4: Simplify right side
    1,691,856x = 13,413,876,950,016
  5. Step 5: Solve for x
    x = 13,413,876,950,016/1,691,856
  6. Step 6: Final answer
    x = 7,928,498.02

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