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Finding the Third Proportional to 1,611,744 and 2,190,212

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Solution

The third proportional to 1,611,744 and 2,190,212 is: 2,976,296.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,611,744 : 2,190,212 = 2,190,212 : x
  2. Step 2: Convert to fraction form
    1,611,744/2,190,212 = 2,190,212/x
  3. Step 3: Cross multiply
    1,611,744x = 2,190,212 × 2,190,212
  4. Step 4: Simplify right side
    1,611,744x = 4,797,028,604,944
  5. Step 5: Solve for x
    x = 4,797,028,604,944/1,611,744
  6. Step 6: Final answer
    x = 2,976,296.86

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.