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Finding the Third Proportional to 807,684.75 and 1,250,471.25

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Solution

The third proportional to 807,684.75 and 1,250,471.25 is: 1,936,000.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    807,684.75 : 1,250,471.25 = 1,250,471.25 : x
  2. Step 2: Convert to fraction form
    807,684.75/1,250,471.25 = 1,250,471.25/x
  3. Step 3: Cross multiply
    807,684.75x = 1,250,471.25 × 1,250,471.25
  4. Step 4: Simplify right side
    807,684.75x = 1,563,678,347,076.56
  5. Step 5: Solve for x
    x = 1,563,678,347,076.56/807,684.75
  6. Step 6: Final answer
    x = 1,936,000.83

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Why These Related Problems?

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