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Finding the Third Proportional to 449,625 and 940,820

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Solution

The third proportional to 449,625 and 940,820 is: 1,968,623.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,625 : 940,820 = 940,820 : x
  2. Step 2: Convert to fraction form
    449,625/940,820 = 940,820/x
  3. Step 3: Cross multiply
    449,625x = 940,820 × 940,820
  4. Step 4: Simplify right side
    449,625x = 885,142,272,400
  5. Step 5: Solve for x
    x = 885,142,272,400/449,625
  6. Step 6: Final answer
    x = 1,968,623.35

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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.