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Finding the Third Proportional to 1,644,912.75 and 3,668,037.75

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Solution

The third proportional to 1,644,912.75 and 3,668,037.75 is: 8,179,461.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,644,912.75 : 3,668,037.75 = 3,668,037.75 : x
  2. Step 2: Convert to fraction form
    1,644,912.75/3,668,037.75 = 3,668,037.75/x
  3. Step 3: Cross multiply
    1,644,912.75x = 3,668,037.75 × 3,668,037.75
  4. Step 4: Simplify right side
    1,644,912.75x = 13,454,500,935,425.06
  5. Step 5: Solve for x
    x = 13,454,500,935,425.06/1,644,912.75
  6. Step 6: Final answer
    x = 8,179,461.76

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.