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Finding the Third Proportional to 2,857,152 and 3,880,320

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Solution

The third proportional to 2,857,152 and 3,880,320 is: 5,269,892.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857,152 : 3,880,320 = 3,880,320 : x
  2. Step 2: Convert to fraction form
    2,857,152/3,880,320 = 3,880,320/x
  3. Step 3: Cross multiply
    2,857,152x = 3,880,320 × 3,880,320
  4. Step 4: Simplify right side
    2,857,152x = 15,056,883,302,400
  5. Step 5: Solve for x
    x = 15,056,883,302,400/2,857,152
  6. Step 6: Final answer
    x = 5,269,892.29

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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.