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Finding the Third Proportional to 698,240 and 1,067,660

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Solution

The third proportional to 698,240 and 1,067,660 is: 1,632,530.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,240 : 1,067,660 = 1,067,660 : x
  2. Step 2: Convert to fraction form
    698,240/1,067,660 = 1,067,660/x
  3. Step 3: Cross multiply
    698,240x = 1,067,660 × 1,067,660
  4. Step 4: Simplify right side
    698,240x = 1,139,897,875,600
  5. Step 5: Solve for x
    x = 1,139,897,875,600/698,240
  6. Step 6: Final answer
    x = 1,632,530.18

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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.