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Finding the Third Proportional to 2,177,199 and 3,458,857.50

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Solution

The third proportional to 2,177,199 and 3,458,857.50 is: 5,494,993.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,177,199 : 3,458,857.50 = 3,458,857.50 : x
  2. Step 2: Convert to fraction form
    2,177,199/3,458,857.50 = 3,458,857.50/x
  3. Step 3: Cross multiply
    2,177,199x = 3,458,857.50 × 3,458,857.50
  4. Step 4: Simplify right side
    2,177,199x = 11,963,695,205,306.25
  5. Step 5: Solve for x
    x = 11,963,695,205,306.25/2,177,199
  6. Step 6: Final answer
    x = 5,494,993.89

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.