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Finding the Third Proportional to 561,956 and 1,228,824

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Solution

The third proportional to 561,956 and 1,228,824 is: 2,687,058.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,956 : 1,228,824 = 1,228,824 : x
  2. Step 2: Convert to fraction form
    561,956/1,228,824 = 1,228,824/x
  3. Step 3: Cross multiply
    561,956x = 1,228,824 × 1,228,824
  4. Step 4: Simplify right side
    561,956x = 1,510,008,422,976
  5. Step 5: Solve for x
    x = 1,510,008,422,976/561,956
  6. Step 6: Final answer
    x = 2,687,058.10

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.