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Finding the Third Proportional to 444,963.38 and 1,049,405.63

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Solution

The third proportional to 444,963.38 and 1,049,405.63 is: 2,474,927.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,963.38 : 1,049,405.63 = 1,049,405.63 : x
  2. Step 2: Convert to fraction form
    444,963.38/1,049,405.63 = 1,049,405.63/x
  3. Step 3: Cross multiply
    444,963.38x = 1,049,405.63 × 1,049,405.63
  4. Step 4: Simplify right side
    444,963.38x = 1,101,252,165,781.64
  5. Step 5: Solve for x
    x = 1,101,252,165,781.64/444,963.38
  6. Step 6: Final answer
    x = 2,474,927.66

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.