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Finding the Third Proportional to 601,119 and 899,794

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Solution

The third proportional to 601,119 and 899,794 is: 1,346,870.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,119 : 899,794 = 899,794 : x
  2. Step 2: Convert to fraction form
    601,119/899,794 = 899,794/x
  3. Step 3: Cross multiply
    601,119x = 899,794 × 899,794
  4. Step 4: Simplify right side
    601,119x = 809,629,242,436
  5. Step 5: Solve for x
    x = 809,629,242,436/601,119
  6. Step 6: Final answer
    x = 1,346,870.16

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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.