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Finding the Third Proportional to 589,923 and 889,731

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Solution

The third proportional to 589,923 and 889,731 is: 1,341,906.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,923 : 889,731 = 889,731 : x
  2. Step 2: Convert to fraction form
    589,923/889,731 = 889,731/x
  3. Step 3: Cross multiply
    589,923x = 889,731 × 889,731
  4. Step 4: Simplify right side
    589,923x = 791,621,252,361
  5. Step 5: Solve for x
    x = 791,621,252,361/589,923
  6. Step 6: Final answer
    x = 1,341,906.07

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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.