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Finding the Third Proportional to 558,660 and 1,205,904

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Solution

The third proportional to 558,660 and 1,205,904 is: 2,603,022.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,660 : 1,205,904 = 1,205,904 : x
  2. Step 2: Convert to fraction form
    558,660/1,205,904 = 1,205,904/x
  3. Step 3: Cross multiply
    558,660x = 1,205,904 × 1,205,904
  4. Step 4: Simplify right side
    558,660x = 1,454,204,457,216
  5. Step 5: Solve for x
    x = 1,454,204,457,216/558,660
  6. Step 6: Final answer
    x = 2,603,022.33

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.