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Finding the Third Proportional to 1,993,857 and 2,990,054.25

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Solution

The third proportional to 1,993,857 and 2,990,054.25 is: 4,483,984.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,993,857 : 2,990,054.25 = 2,990,054.25 : x
  2. Step 2: Convert to fraction form
    1,993,857/2,990,054.25 = 2,990,054.25/x
  3. Step 3: Cross multiply
    1,993,857x = 2,990,054.25 × 2,990,054.25
  4. Step 4: Simplify right side
    1,993,857x = 8,940,424,417,943.06
  5. Step 5: Solve for x
    x = 8,940,424,417,943.06/1,993,857
  6. Step 6: Final answer
    x = 4,483,984.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.