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Finding the Third Proportional to 815,400 and 1,199,133

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Solution

The third proportional to 815,400 and 1,199,133 is: 1,763,453.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    815,400 : 1,199,133 = 1,199,133 : x
  2. Step 2: Convert to fraction form
    815,400/1,199,133 = 1,199,133/x
  3. Step 3: Cross multiply
    815,400x = 1,199,133 × 1,199,133
  4. Step 4: Simplify right side
    815,400x = 1,437,919,951,689
  5. Step 5: Solve for x
    x = 1,437,919,951,689/815,400
  6. Step 6: Final answer
    x = 1,763,453.46

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.