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Finding the Third Proportional to 189,826 and 412,868

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Solution

The third proportional to 189,826 and 412,868 is: 897,980.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,826 : 412,868 = 412,868 : x
  2. Step 2: Convert to fraction form
    189,826/412,868 = 412,868/x
  3. Step 3: Cross multiply
    189,826x = 412,868 × 412,868
  4. Step 4: Simplify right side
    189,826x = 170,459,985,424
  5. Step 5: Solve for x
    x = 170,459,985,424/189,826
  6. Step 6: Final answer
    x = 897,980.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.