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Finding the Third Proportional to 1,310,384 and 2,857,936

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Solution

The third proportional to 1,310,384 and 2,857,936 is: 6,233,133.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310,384 : 2,857,936 = 2,857,936 : x
  2. Step 2: Convert to fraction form
    1,310,384/2,857,936 = 2,857,936/x
  3. Step 3: Cross multiply
    1,310,384x = 2,857,936 × 2,857,936
  4. Step 4: Simplify right side
    1,310,384x = 8,167,798,180,096
  5. Step 5: Solve for x
    x = 8,167,798,180,096/1,310,384
  6. Step 6: Final answer
    x = 6,233,133.33

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.