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Finding the Third Proportional to 816,057 and 1,147,149

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Solution

The third proportional to 816,057 and 1,147,149 is: 1,612,572.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,057 : 1,147,149 = 1,147,149 : x
  2. Step 2: Convert to fraction form
    816,057/1,147,149 = 1,147,149/x
  3. Step 3: Cross multiply
    816,057x = 1,147,149 × 1,147,149
  4. Step 4: Simplify right side
    816,057x = 1,315,950,828,201
  5. Step 5: Solve for x
    x = 1,315,950,828,201/816,057
  6. Step 6: Final answer
    x = 1,612,572.20

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.