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Finding the Third Proportional to 844,209 and 1,848,512.81

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Solution

The third proportional to 844,209 and 1,848,512.81 is: 4,047,575.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    844,209 : 1,848,512.81 = 1,848,512.81 : x
  2. Step 2: Convert to fraction form
    844,209/1,848,512.81 = 1,848,512.81/x
  3. Step 3: Cross multiply
    844,209x = 1,848,512.81 × 1,848,512.81
  4. Step 4: Simplify right side
    844,209x = 3,416,999,617,976.66
  5. Step 5: Solve for x
    x = 3,416,999,617,976.66/844,209
  6. Step 6: Final answer
    x = 4,047,575.44

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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.