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Finding the Third Proportional to 2,022,758 and 4,345,420

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Solution

The third proportional to 2,022,758 and 4,345,420 is: 9,335,113.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,022,758 : 4,345,420 = 4,345,420 : x
  2. Step 2: Convert to fraction form
    2,022,758/4,345,420 = 4,345,420/x
  3. Step 3: Cross multiply
    2,022,758x = 4,345,420 × 4,345,420
  4. Step 4: Simplify right side
    2,022,758x = 18,882,674,976,400
  5. Step 5: Solve for x
    x = 18,882,674,976,400/2,022,758
  6. Step 6: Final answer
    x = 9,335,113.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.