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Finding the Third Proportional to 409,610.25 and 897,945.75

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Solution

The third proportional to 409,610.25 and 897,945.75 is: 1,968,472.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,610.25 : 897,945.75 = 897,945.75 : x
  2. Step 2: Convert to fraction form
    409,610.25/897,945.75 = 897,945.75/x
  3. Step 3: Cross multiply
    409,610.25x = 897,945.75 × 897,945.75
  4. Step 4: Simplify right side
    409,610.25x = 806,306,569,943.06
  5. Step 5: Solve for x
    x = 806,306,569,943.06/409,610.25
  6. Step 6: Final answer
    x = 1,968,472.64

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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.