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Finding the Third Proportional to 552,892 and 1,205,828

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Solution

The third proportional to 552,892 and 1,205,828 is: 2,629,846.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,892 : 1,205,828 = 1,205,828 : x
  2. Step 2: Convert to fraction form
    552,892/1,205,828 = 1,205,828/x
  3. Step 3: Cross multiply
    552,892x = 1,205,828 × 1,205,828
  4. Step 4: Simplify right side
    552,892x = 1,454,021,165,584
  5. Step 5: Solve for x
    x = 1,454,021,165,584/552,892
  6. Step 6: Final answer
    x = 2,629,846.63

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.