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Finding the Third Proportional to 559,077 and 1,206,673

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Solution

The third proportional to 559,077 and 1,206,673 is: 2,604,399.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,077 : 1,206,673 = 1,206,673 : x
  2. Step 2: Convert to fraction form
    559,077/1,206,673 = 1,206,673/x
  3. Step 3: Cross multiply
    559,077x = 1,206,673 × 1,206,673
  4. Step 4: Simplify right side
    559,077x = 1,456,059,728,929
  5. Step 5: Solve for x
    x = 1,456,059,728,929/559,077
  6. Step 6: Final answer
    x = 2,604,399.27

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.