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Finding the Third Proportional to 2,857,164 and 3,880,338

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Solution

The third proportional to 2,857,164 and 3,880,338 is: 5,269,919.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857,164 : 3,880,338 = 3,880,338 : x
  2. Step 2: Convert to fraction form
    2,857,164/3,880,338 = 3,880,338/x
  3. Step 3: Cross multiply
    2,857,164x = 3,880,338 × 3,880,338
  4. Step 4: Simplify right side
    2,857,164x = 15,057,022,994,244
  5. Step 5: Solve for x
    x = 15,057,022,994,244/2,857,164
  6. Step 6: Final answer
    x = 5,269,919.05

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.