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Finding the Third Proportional to 823,954.78 and 1,805,004.84

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Solution

The third proportional to 823,954.78 and 1,805,004.84 is: 3,954,152.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,954.78 : 1,805,004.84 = 1,805,004.84 : x
  2. Step 2: Convert to fraction form
    823,954.78/1,805,004.84 = 1,805,004.84/x
  3. Step 3: Cross multiply
    823,954.78x = 1,805,004.84 × 1,805,004.84
  4. Step 4: Simplify right side
    823,954.78x = 3,258,042,485,960.96
  5. Step 5: Solve for x
    x = 3,258,042,485,960.96/823,954.78
  6. Step 6: Final answer
    x = 3,954,152.05

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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.