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Finding the Third Proportional to 823,957.50 and 1,805,010.75

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Solution

The third proportional to 823,957.50 and 1,805,010.75 is: 3,954,164.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,957.50 : 1,805,010.75 = 1,805,010.75 : x
  2. Step 2: Convert to fraction form
    823,957.50/1,805,010.75 = 1,805,010.75/x
  3. Step 3: Cross multiply
    823,957.50x = 1,805,010.75 × 1,805,010.75
  4. Step 4: Simplify right side
    823,957.50x = 3,258,063,807,615.56
  5. Step 5: Solve for x
    x = 3,258,063,807,615.56/823,957.50
  6. Step 6: Final answer
    x = 3,954,164.88

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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.