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Finding the Third Proportional to 919,141 and 1,944,266

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Solution

The third proportional to 919,141 and 1,944,266 is: 4,112,720.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    919,141 : 1,944,266 = 1,944,266 : x
  2. Step 2: Convert to fraction form
    919,141/1,944,266 = 1,944,266/x
  3. Step 3: Cross multiply
    919,141x = 1,944,266 × 1,944,266
  4. Step 4: Simplify right side
    919,141x = 3,780,170,278,756
  5. Step 5: Solve for x
    x = 3,780,170,278,756/919,141
  6. Step 6: Final answer
    x = 4,112,720.77

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.