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Finding the Third Proportional to 809,304.75 and 1,772,793

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Solution

The third proportional to 809,304.75 and 1,772,793 is: 3,883,327.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,304.75 : 1,772,793 = 1,772,793 : x
  2. Step 2: Convert to fraction form
    809,304.75/1,772,793 = 1,772,793/x
  3. Step 3: Cross multiply
    809,304.75x = 1,772,793 × 1,772,793
  4. Step 4: Simplify right side
    809,304.75x = 3,142,795,020,849
  5. Step 5: Solve for x
    x = 3,142,795,020,849/809,304.75
  6. Step 6: Final answer
    x = 3,883,327.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.