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Finding the Third Proportional to 2,840,214 and 6,135,324

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Solution

The third proportional to 2,840,214 and 6,135,324 is: 13,253,297.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,840,214 : 6,135,324 = 6,135,324 : x
  2. Step 2: Convert to fraction form
    2,840,214/6,135,324 = 6,135,324/x
  3. Step 3: Cross multiply
    2,840,214x = 6,135,324 × 6,135,324
  4. Step 4: Simplify right side
    2,840,214x = 37,642,200,584,976
  5. Step 5: Solve for x
    x = 37,642,200,584,976/2,840,214
  6. Step 6: Final answer
    x = 13,253,297.32

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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.