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Finding the Third Proportional to 1,820,009.25 and 2,694,525.75

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Solution

The third proportional to 1,820,009.25 and 2,694,525.75 is: 3,989,248.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,820,009.25 : 2,694,525.75 = 2,694,525.75 : x
  2. Step 2: Convert to fraction form
    1,820,009.25/2,694,525.75 = 2,694,525.75/x
  3. Step 3: Cross multiply
    1,820,009.25x = 2,694,525.75 × 2,694,525.75
  4. Step 4: Simplify right side
    1,820,009.25x = 7,260,469,017,413.06
  5. Step 5: Solve for x
    x = 7,260,469,017,413.06/1,820,009.25
  6. Step 6: Final answer
    x = 3,989,248.42

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.