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Finding the Third Proportional to 685,501.73 and 1,485,410.48

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Solution

The third proportional to 685,501.73 and 1,485,410.48 is: 3,218,728.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,501.73 : 1,485,410.48 = 1,485,410.48 : x
  2. Step 2: Convert to fraction form
    685,501.73/1,485,410.48 = 1,485,410.48/x
  3. Step 3: Cross multiply
    685,501.73x = 1,485,410.48 × 1,485,410.48
  4. Step 4: Simplify right side
    685,501.73x = 2,206,444,307,091.17
  5. Step 5: Solve for x
    x = 2,206,444,307,091.17/685,501.73
  6. Step 6: Final answer
    x = 3,218,728.99

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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.