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Finding the Third Proportional to 774,773.44 and 1,643,336.44

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Solution

The third proportional to 774,773.44 and 1,643,336.44 is: 3,485,605.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    774,773.44 : 1,643,336.44 = 1,643,336.44 : x
  2. Step 2: Convert to fraction form
    774,773.44/1,643,336.44 = 1,643,336.44/x
  3. Step 3: Cross multiply
    774,773.44x = 1,643,336.44 × 1,643,336.44
  4. Step 4: Simplify right side
    774,773.44x = 2,700,554,646,815.19
  5. Step 5: Solve for x
    x = 2,700,554,646,815.19/774,773.44
  6. Step 6: Final answer
    x = 3,485,605.62

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.