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Finding the Third Proportional to 601,086 and 899,754

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Solution

The third proportional to 601,086 and 899,754 is: 1,346,824.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,086 : 899,754 = 899,754 : x
  2. Step 2: Convert to fraction form
    601,086/899,754 = 899,754/x
  3. Step 3: Cross multiply
    601,086x = 899,754 × 899,754
  4. Step 4: Simplify right side
    601,086x = 809,557,260,516
  5. Step 5: Solve for x
    x = 809,557,260,516/601,086
  6. Step 6: Final answer
    x = 1,346,824.35

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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.