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Finding the Third Proportional to 856,378 and 1,844,293

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Solution

The third proportional to 856,378 and 1,844,293 is: 3,971,863.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,378 : 1,844,293 = 1,844,293 : x
  2. Step 2: Convert to fraction form
    856,378/1,844,293 = 1,844,293/x
  3. Step 3: Cross multiply
    856,378x = 1,844,293 × 1,844,293
  4. Step 4: Simplify right side
    856,378x = 3,401,416,669,849
  5. Step 5: Solve for x
    x = 3,401,416,669,849/856,378
  6. Step 6: Final answer
    x = 3,971,863.67

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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.