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Finding the Third Proportional to 1,028,100 and 2,227,824

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Solution

The third proportional to 1,028,100 and 2,227,824 is: 4,827,545.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028,100 : 2,227,824 = 2,227,824 : x
  2. Step 2: Convert to fraction form
    1,028,100/2,227,824 = 2,227,824/x
  3. Step 3: Cross multiply
    1,028,100x = 2,227,824 × 2,227,824
  4. Step 4: Simplify right side
    1,028,100x = 4,963,199,774,976
  5. Step 5: Solve for x
    x = 4,963,199,774,976/1,028,100
  6. Step 6: Final answer
    x = 4,827,545.74

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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.