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Finding the Third Proportional to 578,144 and 889,744

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Solution

The third proportional to 578,144 and 889,744 is: 1,369,285.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,144 : 889,744 = 889,744 : x
  2. Step 2: Convert to fraction form
    578,144/889,744 = 889,744/x
  3. Step 3: Cross multiply
    578,144x = 889,744 × 889,744
  4. Step 4: Simplify right side
    578,144x = 791,644,385,536
  5. Step 5: Solve for x
    x = 791,644,385,536/578,144
  6. Step 6: Final answer
    x = 1,369,285.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.