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Finding the Third Proportional to 919,136 and 1,944,256

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Solution

The third proportional to 919,136 and 1,944,256 is: 4,112,700.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    919,136 : 1,944,256 = 1,944,256 : x
  2. Step 2: Convert to fraction form
    919,136/1,944,256 = 1,944,256/x
  3. Step 3: Cross multiply
    919,136x = 1,944,256 × 1,944,256
  4. Step 4: Simplify right side
    919,136x = 3,780,131,393,536
  5. Step 5: Solve for x
    x = 3,780,131,393,536/919,136
  6. Step 6: Final answer
    x = 4,112,700.83

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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.