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Finding the Third Proportional to 809,190 and 1,749,600

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Solution

The third proportional to 809,190 and 1,749,600 is: 3,782,918.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,190 : 1,749,600 = 1,749,600 : x
  2. Step 2: Convert to fraction form
    809,190/1,749,600 = 1,749,600/x
  3. Step 3: Cross multiply
    809,190x = 1,749,600 × 1,749,600
  4. Step 4: Simplify right side
    809,190x = 3,061,100,160,000
  5. Step 5: Solve for x
    x = 3,061,100,160,000/809,190
  6. Step 6: Final answer
    x = 3,782,918.92

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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.