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Finding the Third Proportional to 1,027,944 and 2,208,978

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Solution

The third proportional to 1,027,944 and 2,208,978 is: 4,746,935.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,027,944 : 2,208,978 = 2,208,978 : x
  2. Step 2: Convert to fraction form
    1,027,944/2,208,978 = 2,208,978/x
  3. Step 3: Cross multiply
    1,027,944x = 2,208,978 × 2,208,978
  4. Step 4: Simplify right side
    1,027,944x = 4,879,583,804,484
  5. Step 5: Solve for x
    x = 4,879,583,804,484/1,027,944
  6. Step 6: Final answer
    x = 4,746,935.44

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.