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Finding the Third Proportional to 828,012 and 1,266,162

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Solution

The third proportional to 828,012 and 1,266,162 is: 1,936,163.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,012 : 1,266,162 = 1,266,162 : x
  2. Step 2: Convert to fraction form
    828,012/1,266,162 = 1,266,162/x
  3. Step 3: Cross multiply
    828,012x = 1,266,162 × 1,266,162
  4. Step 4: Simplify right side
    828,012x = 1,603,166,210,244
  5. Step 5: Solve for x
    x = 1,603,166,210,244/828,012
  6. Step 6: Final answer
    x = 1,936,163.01

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.