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Finding the Third Proportional to 578,982 and 1,256,976

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Solution

The third proportional to 578,982 and 1,256,976 is: 2,728,908.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,982 : 1,256,976 = 1,256,976 : x
  2. Step 2: Convert to fraction form
    578,982/1,256,976 = 1,256,976/x
  3. Step 3: Cross multiply
    578,982x = 1,256,976 × 1,256,976
  4. Step 4: Simplify right side
    578,982x = 1,579,988,664,576
  5. Step 5: Solve for x
    x = 1,579,988,664,576/578,982
  6. Step 6: Final answer
    x = 2,728,908.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.