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Finding the Third Proportional to 945,204 and 2,074,116

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Solution

The third proportional to 945,204 and 2,074,116 is: 4,551,353.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,204 : 2,074,116 = 2,074,116 : x
  2. Step 2: Convert to fraction form
    945,204/2,074,116 = 2,074,116/x
  3. Step 3: Cross multiply
    945,204x = 2,074,116 × 2,074,116
  4. Step 4: Simplify right side
    945,204x = 4,301,957,181,456
  5. Step 5: Solve for x
    x = 4,301,957,181,456/945,204
  6. Step 6: Final answer
    x = 4,551,353.13

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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.