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Finding the Third Proportional to 601,170 and 899,859

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Solution

The third proportional to 601,170 and 899,859 is: 1,346,950.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,170 : 899,859 = 899,859 : x
  2. Step 2: Convert to fraction form
    601,170/899,859 = 899,859/x
  3. Step 3: Cross multiply
    601,170x = 899,859 × 899,859
  4. Step 4: Simplify right side
    601,170x = 809,746,219,881
  5. Step 5: Solve for x
    x = 809,746,219,881/601,170
  6. Step 6: Final answer
    x = 1,346,950.48

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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.