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Finding the Third Proportional to 816,702 and 1,311,153

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Solution

The third proportional to 816,702 and 1,311,153 is: 2,104,956.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,702 : 1,311,153 = 1,311,153 : x
  2. Step 2: Convert to fraction form
    816,702/1,311,153 = 1,311,153/x
  3. Step 3: Cross multiply
    816,702x = 1,311,153 × 1,311,153
  4. Step 4: Simplify right side
    816,702x = 1,719,122,189,409
  5. Step 5: Solve for x
    x = 1,719,122,189,409/816,702
  6. Step 6: Final answer
    x = 2,104,956.51

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.