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Finding the Third Proportional to 510,961 and 1,054,722

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Solution

The third proportional to 510,961 and 1,054,722 is: 2,177,149.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,961 : 1,054,722 = 1,054,722 : x
  2. Step 2: Convert to fraction form
    510,961/1,054,722 = 1,054,722/x
  3. Step 3: Cross multiply
    510,961x = 1,054,722 × 1,054,722
  4. Step 4: Simplify right side
    510,961x = 1,112,438,497,284
  5. Step 5: Solve for x
    x = 1,112,438,497,284/510,961
  6. Step 6: Final answer
    x = 2,177,149.52

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.