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Finding the Third Proportional to 853,162 and 1,288,814

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Solution

The third proportional to 853,162 and 1,288,814 is: 1,946,923.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,162 : 1,288,814 = 1,288,814 : x
  2. Step 2: Convert to fraction form
    853,162/1,288,814 = 1,288,814/x
  3. Step 3: Cross multiply
    853,162x = 1,288,814 × 1,288,814
  4. Step 4: Simplify right side
    853,162x = 1,661,041,526,596
  5. Step 5: Solve for x
    x = 1,661,041,526,596/853,162
  6. Step 6: Final answer
    x = 1,946,923.94

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.