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Finding the Third Proportional to 437,828 and 945,512

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Solution

The third proportional to 437,828 and 945,512 is: 2,041,881.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,828 : 945,512 = 945,512 : x
  2. Step 2: Convert to fraction form
    437,828/945,512 = 945,512/x
  3. Step 3: Cross multiply
    437,828x = 945,512 × 945,512
  4. Step 4: Simplify right side
    437,828x = 893,992,942,144
  5. Step 5: Solve for x
    x = 893,992,942,144/437,828
  6. Step 6: Final answer
    x = 2,041,881.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.