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Finding the Third Proportional to 684,950 and 1,093,845

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Solution

The third proportional to 684,950 and 1,093,845 is: 1,746,838.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    684,950 : 1,093,845 = 1,093,845 : x
  2. Step 2: Convert to fraction form
    684,950/1,093,845 = 1,093,845/x
  3. Step 3: Cross multiply
    684,950x = 1,093,845 × 1,093,845
  4. Step 4: Simplify right side
    684,950x = 1,196,496,884,025
  5. Step 5: Solve for x
    x = 1,196,496,884,025/684,950
  6. Step 6: Final answer
    x = 1,746,838.29

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.