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Finding the Third Proportional to 698,258 and 1,067,682

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Solution

The third proportional to 698,258 and 1,067,682 is: 1,632,555.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,258 : 1,067,682 = 1,067,682 : x
  2. Step 2: Convert to fraction form
    698,258/1,067,682 = 1,067,682/x
  3. Step 3: Cross multiply
    698,258x = 1,067,682 × 1,067,682
  4. Step 4: Simplify right side
    698,258x = 1,139,944,853,124
  5. Step 5: Solve for x
    x = 1,139,944,853,124/698,258
  6. Step 6: Final answer
    x = 1,632,555.38

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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.