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Finding the Third Proportional to 2,049,817.50 and 4,485,771

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Solution

The third proportional to 2,049,817.50 and 4,485,771 is: 9,816,552.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049,817.50 : 4,485,771 = 4,485,771 : x
  2. Step 2: Convert to fraction form
    2,049,817.50/4,485,771 = 4,485,771/x
  3. Step 3: Cross multiply
    2,049,817.50x = 4,485,771 × 4,485,771
  4. Step 4: Simplify right side
    2,049,817.50x = 20,122,141,464,441
  5. Step 5: Solve for x
    x = 20,122,141,464,441/2,049,817.50
  6. Step 6: Final answer
    x = 9,816,552.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.