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Finding the Third Proportional to 500,229 and 1,095,795

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Solution

The third proportional to 500,229 and 1,095,795 is: 2,400,433.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,229 : 1,095,795 = 1,095,795 : x
  2. Step 2: Convert to fraction form
    500,229/1,095,795 = 1,095,795/x
  3. Step 3: Cross multiply
    500,229x = 1,095,795 × 1,095,795
  4. Step 4: Simplify right side
    500,229x = 1,200,766,682,025
  5. Step 5: Solve for x
    x = 1,200,766,682,025/500,229
  6. Step 6: Final answer
    x = 2,400,433.97

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.