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Finding the Third Proportional to 1,028,263 and 2,228,138

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Solution

The third proportional to 1,028,263 and 2,228,138 is: 4,828,141.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028,263 : 2,228,138 = 2,228,138 : x
  2. Step 2: Convert to fraction form
    1,028,263/2,228,138 = 2,228,138/x
  3. Step 3: Cross multiply
    1,028,263x = 2,228,138 × 2,228,138
  4. Step 4: Simplify right side
    1,028,263x = 4,964,598,947,044
  5. Step 5: Solve for x
    x = 4,964,598,947,044/1,028,263
  6. Step 6: Final answer
    x = 4,828,141.19

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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.