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Finding the Third Proportional to 601,121 and 899,797

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Solution

The third proportional to 601,121 and 899,797 is: 1,346,874.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,121 : 899,797 = 899,797 : x
  2. Step 2: Convert to fraction form
    601,121/899,797 = 899,797/x
  3. Step 3: Cross multiply
    601,121x = 899,797 × 899,797
  4. Step 4: Simplify right side
    601,121x = 809,634,641,209
  5. Step 5: Solve for x
    x = 809,634,641,209/601,121
  6. Step 6: Final answer
    x = 1,346,874.66

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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.