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Finding the Third Proportional to 2,857,153.50 and 3,880,322.25

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Solution

The third proportional to 2,857,153.50 and 3,880,322.25 is: 5,269,895.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857,153.50 : 3,880,322.25 = 3,880,322.25 : x
  2. Step 2: Convert to fraction form
    2,857,153.50/3,880,322.25 = 3,880,322.25/x
  3. Step 3: Cross multiply
    2,857,153.50x = 3,880,322.25 × 3,880,322.25
  4. Step 4: Simplify right side
    2,857,153.50x = 15,056,900,763,845.06
  5. Step 5: Solve for x
    x = 15,056,900,763,845.06/2,857,153.50
  6. Step 6: Final answer
    x = 5,269,895.64

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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.