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Finding the Third Proportional to 589,844 and 889,599

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Solution

The third proportional to 589,844 and 889,599 is: 1,341,687.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,844 : 889,599 = 889,599 : x
  2. Step 2: Convert to fraction form
    589,844/889,599 = 889,599/x
  3. Step 3: Cross multiply
    589,844x = 889,599 × 889,599
  4. Step 4: Simplify right side
    589,844x = 791,386,380,801
  5. Step 5: Solve for x
    x = 791,386,380,801/589,844
  6. Step 6: Final answer
    x = 1,341,687.60

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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.