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Finding the Third Proportional to 764,553.94 and 1,646,267.63

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Solution

The third proportional to 764,553.94 and 1,646,267.63 is: 3,544,808.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,553.94 : 1,646,267.63 = 1,646,267.63 : x
  2. Step 2: Convert to fraction form
    764,553.94/1,646,267.63 = 1,646,267.63/x
  3. Step 3: Cross multiply
    764,553.94x = 1,646,267.63 × 1,646,267.63
  4. Step 4: Simplify right side
    764,553.94x = 2,710,197,093,123.14
  5. Step 5: Solve for x
    x = 2,710,197,093,123.14/764,553.94
  6. Step 6: Final answer
    x = 3,544,808.23

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.