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Finding the Third Proportional to 413,236 and 889,488

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Solution

The third proportional to 413,236 and 889,488 is: 1,914,617.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,236 : 889,488 = 889,488 : x
  2. Step 2: Convert to fraction form
    413,236/889,488 = 889,488/x
  3. Step 3: Cross multiply
    413,236x = 889,488 × 889,488
  4. Step 4: Simplify right side
    413,236x = 791,188,902,144
  5. Step 5: Solve for x
    x = 791,188,902,144/413,236
  6. Step 6: Final answer
    x = 1,914,617.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.