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Finding the Third Proportional to 698,022 and 1,067,334

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Solution

The third proportional to 698,022 and 1,067,334 is: 1,632,042.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,022 : 1,067,334 = 1,067,334 : x
  2. Step 2: Convert to fraction form
    698,022/1,067,334 = 1,067,334/x
  3. Step 3: Cross multiply
    698,022x = 1,067,334 × 1,067,334
  4. Step 4: Simplify right side
    698,022x = 1,139,201,867,556
  5. Step 5: Solve for x
    x = 1,139,201,867,556/698,022
  6. Step 6: Final answer
    x = 1,632,042.93

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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.