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Finding the Third Proportional to 1,086,816 and 2,383,584

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Solution

The third proportional to 1,086,816 and 2,383,584 is: 5,227,630.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086,816 : 2,383,584 = 2,383,584 : x
  2. Step 2: Convert to fraction form
    1,086,816/2,383,584 = 2,383,584/x
  3. Step 3: Cross multiply
    1,086,816x = 2,383,584 × 2,383,584
  4. Step 4: Simplify right side
    1,086,816x = 5,681,472,685,056
  5. Step 5: Solve for x
    x = 5,681,472,685,056/1,086,816
  6. Step 6: Final answer
    x = 5,227,630.70

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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.