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Finding the Third Proportional to 698,235 and 1,067,676

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Solution

The third proportional to 698,235 and 1,067,676 is: 1,632,590.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,235 : 1,067,676 = 1,067,676 : x
  2. Step 2: Convert to fraction form
    698,235/1,067,676 = 1,067,676/x
  3. Step 3: Cross multiply
    698,235x = 1,067,676 × 1,067,676
  4. Step 4: Simplify right side
    698,235x = 1,139,932,040,976
  5. Step 5: Solve for x
    x = 1,139,932,040,976/698,235
  6. Step 6: Final answer
    x = 1,632,590.81

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.