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Finding the Third Proportional to 3,785,976 and 8,214,120

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Solution

The third proportional to 3,785,976 and 8,214,120 is: 17,821,498.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,785,976 : 8,214,120 = 8,214,120 : x
  2. Step 2: Convert to fraction form
    3,785,976/8,214,120 = 8,214,120/x
  3. Step 3: Cross multiply
    3,785,976x = 8,214,120 × 8,214,120
  4. Step 4: Simplify right side
    3,785,976x = 67,471,767,374,400
  5. Step 5: Solve for x
    x = 67,471,767,374,400/3,785,976
  6. Step 6: Final answer
    x = 17,821,498.97

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.