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Finding the Third Proportional to 1,028,265 and 2,228,142

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Solution

The third proportional to 1,028,265 and 2,228,142 is: 4,828,149.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028,265 : 2,228,142 = 2,228,142 : x
  2. Step 2: Convert to fraction form
    1,028,265/2,228,142 = 2,228,142/x
  3. Step 3: Cross multiply
    1,028,265x = 2,228,142 × 2,228,142
  4. Step 4: Simplify right side
    1,028,265x = 4,964,616,772,164
  5. Step 5: Solve for x
    x = 4,964,616,772,164/1,028,265
  6. Step 6: Final answer
    x = 4,828,149.14

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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.