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Finding the Third Proportional to 706,997 and 1,527,016

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Solution

The third proportional to 706,997 and 1,527,016 is: 3,298,143.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,997 : 1,527,016 = 1,527,016 : x
  2. Step 2: Convert to fraction form
    706,997/1,527,016 = 1,527,016/x
  3. Step 3: Cross multiply
    706,997x = 1,527,016 × 1,527,016
  4. Step 4: Simplify right side
    706,997x = 2,331,777,864,256
  5. Step 5: Solve for x
    x = 2,331,777,864,256/706,997
  6. Step 6: Final answer
    x = 3,298,143.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.