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Finding the Third Proportional to 1,993,896 and 4,324,320

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Solution

The third proportional to 1,993,896 and 4,324,320 is: 9,378,494.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,993,896 : 4,324,320 = 4,324,320 : x
  2. Step 2: Convert to fraction form
    1,993,896/4,324,320 = 4,324,320/x
  3. Step 3: Cross multiply
    1,993,896x = 4,324,320 × 4,324,320
  4. Step 4: Simplify right side
    1,993,896x = 18,699,743,462,400
  5. Step 5: Solve for x
    x = 18,699,743,462,400/1,993,896
  6. Step 6: Final answer
    x = 9,378,494.90

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.