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Finding the Third Proportional to 463,554.14 and 962,635.64

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Solution

The third proportional to 463,554.14 and 962,635.64 is: 1,999,048.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,554.14 : 962,635.64 = 962,635.64 : x
  2. Step 2: Convert to fraction form
    463,554.14/962,635.64 = 962,635.64/x
  3. Step 3: Cross multiply
    463,554.14x = 962,635.64 × 962,635.64
  4. Step 4: Simplify right side
    463,554.14x = 926,667,376,601.50
  5. Step 5: Solve for x
    x = 926,667,376,601.50/463,554.14
  6. Step 6: Final answer
    x = 1,999,048.86

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.