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Finding the Third Proportional to 578,962 and 1,256,954

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Solution

The third proportional to 578,962 and 1,256,954 is: 2,728,906.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,962 : 1,256,954 = 1,256,954 : x
  2. Step 2: Convert to fraction form
    578,962/1,256,954 = 1,256,954/x
  3. Step 3: Cross multiply
    578,962x = 1,256,954 × 1,256,954
  4. Step 4: Simplify right side
    578,962x = 1,579,933,358,116
  5. Step 5: Solve for x
    x = 1,579,933,358,116/578,962
  6. Step 6: Final answer
    x = 2,728,906.83

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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.