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Finding the Third Proportional to 698,432 and 1,524,800

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Solution

The third proportional to 698,432 and 1,524,800 is: 3,328,906.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,432 : 1,524,800 = 1,524,800 : x
  2. Step 2: Convert to fraction form
    698,432/1,524,800 = 1,524,800/x
  3. Step 3: Cross multiply
    698,432x = 1,524,800 × 1,524,800
  4. Step 4: Simplify right side
    698,432x = 2,325,015,040,000
  5. Step 5: Solve for x
    x = 2,325,015,040,000/698,432
  6. Step 6: Final answer
    x = 3,328,906.81

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.