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Finding the Third Proportional to 839,920 and 1,297,012

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Solution

The third proportional to 839,920 and 1,297,012 is: 2,002,857.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    839,920 : 1,297,012 = 1,297,012 : x
  2. Step 2: Convert to fraction form
    839,920/1,297,012 = 1,297,012/x
  3. Step 3: Cross multiply
    839,920x = 1,297,012 × 1,297,012
  4. Step 4: Simplify right side
    839,920x = 1,682,240,128,144
  5. Step 5: Solve for x
    x = 1,682,240,128,144/839,920
  6. Step 6: Final answer
    x = 2,002,857.57

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.