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Finding the Third Proportional to 1,994,215.50 and 4,349,257.50

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Solution

The third proportional to 1,994,215.50 and 4,349,257.50 is: 9,485,454.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,994,215.50 : 4,349,257.50 = 4,349,257.50 : x
  2. Step 2: Convert to fraction form
    1,994,215.50/4,349,257.50 = 4,349,257.50/x
  3. Step 3: Cross multiply
    1,994,215.50x = 4,349,257.50 × 4,349,257.50
  4. Step 4: Simplify right side
    1,994,215.50x = 18,916,040,801,306.25
  5. Step 5: Solve for x
    x = 18,916,040,801,306.25/1,994,215.50
  6. Step 6: Final answer
    x = 9,485,454.71

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.