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Finding the Third Proportional to 623,832 and 889,092

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Solution

The third proportional to 623,832 and 889,092 is: 1,267,143.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,832 : 889,092 = 889,092 : x
  2. Step 2: Convert to fraction form
    623,832/889,092 = 889,092/x
  3. Step 3: Cross multiply
    623,832x = 889,092 × 889,092
  4. Step 4: Simplify right side
    623,832x = 790,484,584,464
  5. Step 5: Solve for x
    x = 790,484,584,464/623,832
  6. Step 6: Final answer
    x = 1,267,143.37

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.