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Finding the Third Proportional to 589,815 and 889,623

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Solution

The third proportional to 589,815 and 889,623 is: 1,341,825.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,815 : 889,623 = 889,623 : x
  2. Step 2: Convert to fraction form
    589,815/889,623 = 889,623/x
  3. Step 3: Cross multiply
    589,815x = 889,623 × 889,623
  4. Step 4: Simplify right side
    589,815x = 791,429,082,129
  5. Step 5: Solve for x
    x = 791,429,082,129/589,815
  6. Step 6: Final answer
    x = 1,341,825.97

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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.