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Finding the Third Proportional to 1,928,223.56 and 2,821,356.56

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Solution

The third proportional to 1,928,223.56 and 2,821,356.56 is: 4,128,179.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,928,223.56 : 2,821,356.56 = 2,821,356.56 : x
  2. Step 2: Convert to fraction form
    1,928,223.56/2,821,356.56 = 2,821,356.56/x
  3. Step 3: Cross multiply
    1,928,223.56x = 2,821,356.56 × 2,821,356.56
  4. Step 4: Simplify right side
    1,928,223.56x = 7,960,052,852,761.82
  5. Step 5: Solve for x
    x = 7,960,052,852,761.82/1,928,223.56
  6. Step 6: Final answer
    x = 4,128,179.43

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.