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Finding the Third Proportional to 437,736 and 905,802

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Solution

The third proportional to 437,736 and 905,802 is: 1,874,365.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,736 : 905,802 = 905,802 : x
  2. Step 2: Convert to fraction form
    437,736/905,802 = 905,802/x
  3. Step 3: Cross multiply
    437,736x = 905,802 × 905,802
  4. Step 4: Simplify right side
    437,736x = 820,477,263,204
  5. Step 5: Solve for x
    x = 820,477,263,204/437,736
  6. Step 6: Final answer
    x = 1,874,365.52

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.