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Finding the Third Proportional to 2,072,749.50 and 4,485,019.50

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Solution

The third proportional to 2,072,749.50 and 4,485,019.50 is: 9,704,694.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,072,749.50 : 4,485,019.50 = 4,485,019.50 : x
  2. Step 2: Convert to fraction form
    2,072,749.50/4,485,019.50 = 4,485,019.50/x
  3. Step 3: Cross multiply
    2,072,749.50x = 4,485,019.50 × 4,485,019.50
  4. Step 4: Simplify right side
    2,072,749.50x = 20,115,399,915,380.25
  5. Step 5: Solve for x
    x = 20,115,399,915,380.25/2,072,749.50
  6. Step 6: Final answer
    x = 9,704,694.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.