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Finding the Third Proportional to 589,508 and 889,865

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Solution

The third proportional to 589,508 and 889,865 is: 1,343,255.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,508 : 889,865 = 889,865 : x
  2. Step 2: Convert to fraction form
    589,508/889,865 = 889,865/x
  3. Step 3: Cross multiply
    589,508x = 889,865 × 889,865
  4. Step 4: Simplify right side
    589,508x = 791,859,718,225
  5. Step 5: Solve for x
    x = 791,859,718,225/589,508
  6. Step 6: Final answer
    x = 1,343,255.25

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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.