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Finding the Third Proportional to 706,811 and 1,473,238

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Solution

The third proportional to 706,811 and 1,473,238 is: 3,070,736.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,811 : 1,473,238 = 1,473,238 : x
  2. Step 2: Convert to fraction form
    706,811/1,473,238 = 1,473,238/x
  3. Step 3: Cross multiply
    706,811x = 1,473,238 × 1,473,238
  4. Step 4: Simplify right side
    706,811x = 2,170,430,204,644
  5. Step 5: Solve for x
    x = 2,170,430,204,644/706,811
  6. Step 6: Final answer
    x = 3,070,736.31

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.