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Finding the Third Proportional to 853,164 and 1,288,817

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Solution

The third proportional to 853,164 and 1,288,817 is: 1,946,928.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,164 : 1,288,817 = 1,288,817 : x
  2. Step 2: Convert to fraction form
    853,164/1,288,817 = 1,288,817/x
  3. Step 3: Cross multiply
    853,164x = 1,288,817 × 1,288,817
  4. Step 4: Simplify right side
    853,164x = 1,661,049,259,489
  5. Step 5: Solve for x
    x = 1,661,049,259,489/853,164
  6. Step 6: Final answer
    x = 1,946,928.44

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Why These Related Problems?

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