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Finding the Third Proportional to 386,811 and 830,751

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Solution

The third proportional to 386,811 and 830,751 is: 1,784,197.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,811 : 830,751 = 830,751 : x
  2. Step 2: Convert to fraction form
    386,811/830,751 = 830,751/x
  3. Step 3: Cross multiply
    386,811x = 830,751 × 830,751
  4. Step 4: Simplify right side
    386,811x = 690,147,224,001
  5. Step 5: Solve for x
    x = 690,147,224,001/386,811
  6. Step 6: Final answer
    x = 1,784,197.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.