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Finding the Third Proportional to 2,216,750 and 4,797,824

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Solution

The third proportional to 2,216,750 and 4,797,824 is: 10,384,172.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,216,750 : 4,797,824 = 4,797,824 : x
  2. Step 2: Convert to fraction form
    2,216,750/4,797,824 = 4,797,824/x
  3. Step 3: Cross multiply
    2,216,750x = 4,797,824 × 4,797,824
  4. Step 4: Simplify right side
    2,216,750x = 23,019,115,134,976
  5. Step 5: Solve for x
    x = 23,019,115,134,976/2,216,750
  6. Step 6: Final answer
    x = 10,384,172.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.