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Finding the Third Proportional to 638,158.50 and 1,346,027.63

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Solution

The third proportional to 638,158.50 and 1,346,027.63 is: 2,839,091.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,158.50 : 1,346,027.63 = 1,346,027.63 : x
  2. Step 2: Convert to fraction form
    638,158.50/1,346,027.63 = 1,346,027.63/x
  3. Step 3: Cross multiply
    638,158.50x = 1,346,027.63 × 1,346,027.63
  4. Step 4: Simplify right side
    638,158.50x = 1,811,790,367,263.14
  5. Step 5: Solve for x
    x = 1,811,790,367,263.14/638,158.50
  6. Step 6: Final answer
    x = 2,839,091.49

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.