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Finding the Third Proportional to 404,942 and 889,238

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Solution

The third proportional to 404,942 and 889,238 is: 1,952,734.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,942 : 889,238 = 889,238 : x
  2. Step 2: Convert to fraction form
    404,942/889,238 = 889,238/x
  3. Step 3: Cross multiply
    404,942x = 889,238 × 889,238
  4. Step 4: Simplify right side
    404,942x = 790,744,220,644
  5. Step 5: Solve for x
    x = 790,744,220,644/404,942
  6. Step 6: Final answer
    x = 1,952,734.52

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.