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Finding the Third Proportional to 412,132 and 899,837

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Solution

The third proportional to 412,132 and 899,837 is: 1,964,677.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,132 : 899,837 = 899,837 : x
  2. Step 2: Convert to fraction form
    412,132/899,837 = 899,837/x
  3. Step 3: Cross multiply
    412,132x = 899,837 × 899,837
  4. Step 4: Simplify right side
    412,132x = 809,706,626,569
  5. Step 5: Solve for x
    x = 809,706,626,569/412,132
  6. Step 6: Final answer
    x = 1,964,677.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.