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Finding the Third Proportional to 437,652 and 905,652

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Solution

The third proportional to 437,652 and 905,652 is: 1,874,104.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,652 : 905,652 = 905,652 : x
  2. Step 2: Convert to fraction form
    437,652/905,652 = 905,652/x
  3. Step 3: Cross multiply
    437,652x = 905,652 × 905,652
  4. Step 4: Simplify right side
    437,652x = 820,205,545,104
  5. Step 5: Solve for x
    x = 820,205,545,104/437,652
  6. Step 6: Final answer
    x = 1,874,104.41

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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.