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Finding the Third Proportional to 698,210 and 1,067,622

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Solution

The third proportional to 698,210 and 1,067,622 is: 1,632,484.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,210 : 1,067,622 = 1,067,622 : x
  2. Step 2: Convert to fraction form
    698,210/1,067,622 = 1,067,622/x
  3. Step 3: Cross multiply
    698,210x = 1,067,622 × 1,067,622
  4. Step 4: Simplify right side
    698,210x = 1,139,816,734,884
  5. Step 5: Solve for x
    x = 1,139,816,734,884/698,210
  6. Step 6: Final answer
    x = 1,632,484.12

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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.