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Finding the Third Proportional to 2,241,642 and 4,864,324

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Solution

The third proportional to 2,241,642 and 4,864,324 is: 10,555,498.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,241,642 : 4,864,324 = 4,864,324 : x
  2. Step 2: Convert to fraction form
    2,241,642/4,864,324 = 4,864,324/x
  3. Step 3: Cross multiply
    2,241,642x = 4,864,324 × 4,864,324
  4. Step 4: Simplify right side
    2,241,642x = 23,661,647,976,976
  5. Step 5: Solve for x
    x = 23,661,647,976,976/2,241,642
  6. Step 6: Final answer
    x = 10,555,498.15

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.