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Finding the Third Proportional to 683,074.50 and 1,019,067

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Solution

The third proportional to 683,074.50 and 1,019,067 is: 1,520,328.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,074.50 : 1,019,067 = 1,019,067 : x
  2. Step 2: Convert to fraction form
    683,074.50/1,019,067 = 1,019,067/x
  3. Step 3: Cross multiply
    683,074.50x = 1,019,067 × 1,019,067
  4. Step 4: Simplify right side
    683,074.50x = 1,038,497,550,489
  5. Step 5: Solve for x
    x = 1,038,497,550,489/683,074.50
  6. Step 6: Final answer
    x = 1,520,328.38

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.