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Finding the Third Proportional to 1,086,824 and 2,383,600

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Solution

The third proportional to 1,086,824 and 2,383,600 is: 5,227,662.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086,824 : 2,383,600 = 2,383,600 : x
  2. Step 2: Convert to fraction form
    1,086,824/2,383,600 = 2,383,600/x
  3. Step 3: Cross multiply
    1,086,824x = 2,383,600 × 2,383,600
  4. Step 4: Simplify right side
    1,086,824x = 5,681,548,960,000
  5. Step 5: Solve for x
    x = 5,681,548,960,000/1,086,824
  6. Step 6: Final answer
    x = 5,227,662.40

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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.