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Finding the Third Proportional to 809,250 and 1,749,720

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Solution

The third proportional to 809,250 and 1,749,720 is: 3,783,157.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,250 : 1,749,720 = 1,749,720 : x
  2. Step 2: Convert to fraction form
    809,250/1,749,720 = 1,749,720/x
  3. Step 3: Cross multiply
    809,250x = 1,749,720 × 1,749,720
  4. Step 4: Simplify right side
    809,250x = 3,061,520,078,400
  5. Step 5: Solve for x
    x = 3,061,520,078,400/809,250
  6. Step 6: Final answer
    x = 3,783,157.34

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.