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Finding the Third Proportional to 2,659,671 and 4,212,170

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Solution

The third proportional to 2,659,671 and 4,212,170 is: 6,670,891.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,659,671 : 4,212,170 = 4,212,170 : x
  2. Step 2: Convert to fraction form
    2,659,671/4,212,170 = 4,212,170/x
  3. Step 3: Cross multiply
    2,659,671x = 4,212,170 × 4,212,170
  4. Step 4: Simplify right side
    2,659,671x = 17,742,376,108,900
  5. Step 5: Solve for x
    x = 17,742,376,108,900/2,659,671
  6. Step 6: Final answer
    x = 6,670,891.29

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.