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Finding the Third Proportional to 601,108 and 899,778

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Solution

The third proportional to 601,108 and 899,778 is: 1,346,846.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,108 : 899,778 = 899,778 : x
  2. Step 2: Convert to fraction form
    601,108/899,778 = 899,778/x
  3. Step 3: Cross multiply
    601,108x = 899,778 × 899,778
  4. Step 4: Simplify right side
    601,108x = 809,600,449,284
  5. Step 5: Solve for x
    x = 809,600,449,284/601,108
  6. Step 6: Final answer
    x = 1,346,846.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.