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Finding the Third Proportional to 2,023,280.25 and 4,233,630

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Solution

The third proportional to 2,023,280.25 and 4,233,630 is: 8,858,695.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,023,280.25 : 4,233,630 = 4,233,630 : x
  2. Step 2: Convert to fraction form
    2,023,280.25/4,233,630 = 4,233,630/x
  3. Step 3: Cross multiply
    2,023,280.25x = 4,233,630 × 4,233,630
  4. Step 4: Simplify right side
    2,023,280.25x = 17,923,622,976,900
  5. Step 5: Solve for x
    x = 17,923,622,976,900/2,023,280.25
  6. Step 6: Final answer
    x = 8,858,695.17

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.