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Finding the Third Proportional to 589,099 and 900,782

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Solution

The third proportional to 589,099 and 900,782 is: 1,377,371.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,099 : 900,782 = 900,782 : x
  2. Step 2: Convert to fraction form
    589,099/900,782 = 900,782/x
  3. Step 3: Cross multiply
    589,099x = 900,782 × 900,782
  4. Step 4: Simplify right side
    589,099x = 811,408,211,524
  5. Step 5: Solve for x
    x = 811,408,211,524/589,099
  6. Step 6: Final answer
    x = 1,377,371.56

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.