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Finding the Third Proportional to 441,936 and 953,802

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Solution

The third proportional to 441,936 and 953,802 is: 2,058,529.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,936 : 953,802 = 953,802 : x
  2. Step 2: Convert to fraction form
    441,936/953,802 = 953,802/x
  3. Step 3: Cross multiply
    441,936x = 953,802 × 953,802
  4. Step 4: Simplify right side
    441,936x = 909,738,255,204
  5. Step 5: Solve for x
    x = 909,738,255,204/441,936
  6. Step 6: Final answer
    x = 2,058,529.41

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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.