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Finding the Third Proportional to 600,676 and 1,067,804

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Solution

The third proportional to 600,676 and 1,067,804 is: 1,898,203.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,676 : 1,067,804 = 1,067,804 : x
  2. Step 2: Convert to fraction form
    600,676/1,067,804 = 1,067,804/x
  3. Step 3: Cross multiply
    600,676x = 1,067,804 × 1,067,804
  4. Step 4: Simplify right side
    600,676x = 1,140,205,382,416
  5. Step 5: Solve for x
    x = 1,140,205,382,416/600,676
  6. Step 6: Final answer
    x = 1,898,203.66

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These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.