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Finding the Third Proportional to 1,247,194 and 1,824,135

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Solution

The third proportional to 1,247,194 and 1,824,135 is: 2,667,963.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247,194 : 1,824,135 = 1,824,135 : x
  2. Step 2: Convert to fraction form
    1,247,194/1,824,135 = 1,824,135/x
  3. Step 3: Cross multiply
    1,247,194x = 1,824,135 × 1,824,135
  4. Step 4: Simplify right side
    1,247,194x = 3,327,468,498,225
  5. Step 5: Solve for x
    x = 3,327,468,498,225/1,247,194
  6. Step 6: Final answer
    x = 2,667,963.84

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.