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Finding the Third Proportional to 2,228,321 and 4,883,824

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Solution

The third proportional to 2,228,321 and 4,883,824 is: 10,703,905.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,228,321 : 4,883,824 = 4,883,824 : x
  2. Step 2: Convert to fraction form
    2,228,321/4,883,824 = 4,883,824/x
  3. Step 3: Cross multiply
    2,228,321x = 4,883,824 × 4,883,824
  4. Step 4: Simplify right side
    2,228,321x = 23,851,736,862,976
  5. Step 5: Solve for x
    x = 23,851,736,862,976/2,228,321
  6. Step 6: Final answer
    x = 10,703,905.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.