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Finding the Third Proportional to 665,864 and 1,438,149

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Solution

The third proportional to 665,864 and 1,438,149 is: 3,106,148.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,864 : 1,438,149 = 1,438,149 : x
  2. Step 2: Convert to fraction form
    665,864/1,438,149 = 1,438,149/x
  3. Step 3: Cross multiply
    665,864x = 1,438,149 × 1,438,149
  4. Step 4: Simplify right side
    665,864x = 2,068,272,546,201
  5. Step 5: Solve for x
    x = 2,068,272,546,201/665,864
  6. Step 6: Final answer
    x = 3,106,148.62

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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.