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Finding the Third Proportional to 589,777 and 889,539

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Solution

The third proportional to 589,777 and 889,539 is: 1,341,659.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,777 : 889,539 = 889,539 : x
  2. Step 2: Convert to fraction form
    589,777/889,539 = 889,539/x
  3. Step 3: Cross multiply
    589,777x = 889,539 × 889,539
  4. Step 4: Simplify right side
    589,777x = 791,279,632,521
  5. Step 5: Solve for x
    x = 791,279,632,521/589,777
  6. Step 6: Final answer
    x = 1,341,659.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.