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Finding the Third Proportional to 801,804 and 1,728,012

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Solution

The third proportional to 801,804 and 1,728,012 is: 3,724,133.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    801,804 : 1,728,012 = 1,728,012 : x
  2. Step 2: Convert to fraction form
    801,804/1,728,012 = 1,728,012/x
  3. Step 3: Cross multiply
    801,804x = 1,728,012 × 1,728,012
  4. Step 4: Simplify right side
    801,804x = 2,986,025,472,144
  5. Step 5: Solve for x
    x = 2,986,025,472,144/801,804
  6. Step 6: Final answer
    x = 3,724,133.92

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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.