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Finding the Third Proportional to 589,500 and 889,853

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Solution

The third proportional to 589,500 and 889,853 is: 1,343,237.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,500 : 889,853 = 889,853 : x
  2. Step 2: Convert to fraction form
    589,500/889,853 = 889,853/x
  3. Step 3: Cross multiply
    589,500x = 889,853 × 889,853
  4. Step 4: Simplify right side
    589,500x = 791,838,361,609
  5. Step 5: Solve for x
    x = 791,838,361,609/589,500
  6. Step 6: Final answer
    x = 1,343,237.25

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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.