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Finding the Third Proportional to 789,365.25 and 1,728,965.25

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Solution

The third proportional to 789,365.25 and 1,728,965.25 is: 3,786,993.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    789,365.25 : 1,728,965.25 = 1,728,965.25 : x
  2. Step 2: Convert to fraction form
    789,365.25/1,728,965.25 = 1,728,965.25/x
  3. Step 3: Cross multiply
    789,365.25x = 1,728,965.25 × 1,728,965.25
  4. Step 4: Simplify right side
    789,365.25x = 2,989,320,835,707.56
  5. Step 5: Solve for x
    x = 2,989,320,835,707.56/789,365.25
  6. Step 6: Final answer
    x = 3,786,993.20

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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.