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Finding the Third Proportional to 1,894,736 and 4,073,189

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Solution

The third proportional to 1,894,736 and 4,073,189 is: 8,756,295.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,894,736 : 4,073,189 = 4,073,189 : x
  2. Step 2: Convert to fraction form
    1,894,736/4,073,189 = 4,073,189/x
  3. Step 3: Cross multiply
    1,894,736x = 4,073,189 × 4,073,189
  4. Step 4: Simplify right side
    1,894,736x = 16,590,868,629,721
  5. Step 5: Solve for x
    x = 16,590,868,629,721/1,894,736
  6. Step 6: Final answer
    x = 8,756,295.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.