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Finding the Third Proportional to 2,834,161 and 5,787,278

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Solution

The third proportional to 2,834,161 and 5,787,278 is: 11,817,460.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,834,161 : 5,787,278 = 5,787,278 : x
  2. Step 2: Convert to fraction form
    2,834,161/5,787,278 = 5,787,278/x
  3. Step 3: Cross multiply
    2,834,161x = 5,787,278 × 5,787,278
  4. Step 4: Simplify right side
    2,834,161x = 33,492,586,649,284
  5. Step 5: Solve for x
    x = 33,492,586,649,284/2,834,161
  6. Step 6: Final answer
    x = 11,817,460.85

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.