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Finding the Third Proportional to 459,866 and 1,005,268

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Solution

The third proportional to 459,866 and 1,005,268 is: 2,197,517.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,866 : 1,005,268 = 1,005,268 : x
  2. Step 2: Convert to fraction form
    459,866/1,005,268 = 1,005,268/x
  3. Step 3: Cross multiply
    459,866x = 1,005,268 × 1,005,268
  4. Step 4: Simplify right side
    459,866x = 1,010,563,751,824
  5. Step 5: Solve for x
    x = 1,010,563,751,824/459,866
  6. Step 6: Final answer
    x = 2,197,517.87

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.