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Finding the Third Proportional to 1,682,856 and 3,670,308

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Solution

The third proportional to 1,682,856 and 3,670,308 is: 8,004,939.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682,856 : 3,670,308 = 3,670,308 : x
  2. Step 2: Convert to fraction form
    1,682,856/3,670,308 = 3,670,308/x
  3. Step 3: Cross multiply
    1,682,856x = 3,670,308 × 3,670,308
  4. Step 4: Simplify right side
    1,682,856x = 13,471,160,814,864
  5. Step 5: Solve for x
    x = 13,471,160,814,864/1,682,856
  6. Step 6: Final answer
    x = 8,004,939.71

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.