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Finding the Third Proportional to 558,739.69 and 1,206,786.94

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Solution

The third proportional to 558,739.69 and 1,206,786.94 is: 2,606,463.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,739.69 : 1,206,786.94 = 1,206,786.94 : x
  2. Step 2: Convert to fraction form
    558,739.69/1,206,786.94 = 1,206,786.94/x
  3. Step 3: Cross multiply
    558,739.69x = 1,206,786.94 × 1,206,786.94
  4. Step 4: Simplify right side
    558,739.69x = 1,456,334,712,520.63
  5. Step 5: Solve for x
    x = 1,456,334,712,520.63/558,739.69
  6. Step 6: Final answer
    x = 2,606,463.70

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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.