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Finding the Third Proportional to 449,631 and 940,806

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Solution

The third proportional to 449,631 and 940,806 is: 1,968,538.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,631 : 940,806 = 940,806 : x
  2. Step 2: Convert to fraction form
    449,631/940,806 = 940,806/x
  3. Step 3: Cross multiply
    449,631x = 940,806 × 940,806
  4. Step 4: Simplify right side
    449,631x = 885,115,929,636
  5. Step 5: Solve for x
    x = 885,115,929,636/449,631
  6. Step 6: Final answer
    x = 1,968,538.49

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.