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Finding the Third Proportional to 1,814,413 and 3,906,170

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Solution

The third proportional to 1,814,413 and 3,906,170 is: 8,409,421.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,814,413 : 3,906,170 = 3,906,170 : x
  2. Step 2: Convert to fraction form
    1,814,413/3,906,170 = 3,906,170/x
  3. Step 3: Cross multiply
    1,814,413x = 3,906,170 × 3,906,170
  4. Step 4: Simplify right side
    1,814,413x = 15,258,164,068,900
  5. Step 5: Solve for x
    x = 15,258,164,068,900/1,814,413
  6. Step 6: Final answer
    x = 8,409,421.71

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.