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Finding the Third Proportional to 601,126 and 899,802

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Solution

The third proportional to 601,126 and 899,802 is: 1,346,878.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,126 : 899,802 = 899,802 : x
  2. Step 2: Convert to fraction form
    601,126/899,802 = 899,802/x
  3. Step 3: Cross multiply
    601,126x = 899,802 × 899,802
  4. Step 4: Simplify right side
    601,126x = 809,643,639,204
  5. Step 5: Solve for x
    x = 809,643,639,204/601,126
  6. Step 6: Final answer
    x = 1,346,878.42

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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.