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Finding the Third Proportional to 503,166.94 and 1,005,918.75

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Solution

The third proportional to 503,166.94 and 1,005,918.75 is: 2,011,007.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,166.94 : 1,005,918.75 = 1,005,918.75 : x
  2. Step 2: Convert to fraction form
    503,166.94/1,005,918.75 = 1,005,918.75/x
  3. Step 3: Cross multiply
    503,166.94x = 1,005,918.75 × 1,005,918.75
  4. Step 4: Simplify right side
    503,166.94x = 1,011,872,531,601.56
  5. Step 5: Solve for x
    x = 1,011,872,531,601.56/503,166.94
  6. Step 6: Final answer
    x = 2,011,007.59

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These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.