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Finding the Third Proportional to 1,028,184 and 2,231,328

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Solution

The third proportional to 1,028,184 and 2,231,328 is: 4,842,347.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028,184 : 2,231,328 = 2,231,328 : x
  2. Step 2: Convert to fraction form
    1,028,184/2,231,328 = 2,231,328/x
  3. Step 3: Cross multiply
    1,028,184x = 2,231,328 × 2,231,328
  4. Step 4: Simplify right side
    1,028,184x = 4,978,824,643,584
  5. Step 5: Solve for x
    x = 4,978,824,643,584/1,028,184
  6. Step 6: Final answer
    x = 4,842,347.91

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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.