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Finding the Third Proportional to 809,438 and 1,169,405

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Solution

The third proportional to 809,438 and 1,169,405 is: 1,689,453.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,438 : 1,169,405 = 1,169,405 : x
  2. Step 2: Convert to fraction form
    809,438/1,169,405 = 1,169,405/x
  3. Step 3: Cross multiply
    809,438x = 1,169,405 × 1,169,405
  4. Step 4: Simplify right side
    809,438x = 1,367,508,054,025
  5. Step 5: Solve for x
    x = 1,367,508,054,025/809,438
  6. Step 6: Final answer
    x = 1,689,453.74

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.