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Finding the Third Proportional to 800,566 and 1,238,250

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Solution

The third proportional to 800,566 and 1,238,250 is: 1,915,223.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,566 : 1,238,250 = 1,238,250 : x
  2. Step 2: Convert to fraction form
    800,566/1,238,250 = 1,238,250/x
  3. Step 3: Cross multiply
    800,566x = 1,238,250 × 1,238,250
  4. Step 4: Simplify right side
    800,566x = 1,533,263,062,500
  5. Step 5: Solve for x
    x = 1,533,263,062,500/800,566
  6. Step 6: Final answer
    x = 1,915,223.81

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.