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Finding the Third Proportional to 706,180 and 906,717

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Solution

The third proportional to 706,180 and 906,717 is: 1,164,201.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,180 : 906,717 = 906,717 : x
  2. Step 2: Convert to fraction form
    706,180/906,717 = 906,717/x
  3. Step 3: Cross multiply
    706,180x = 906,717 × 906,717
  4. Step 4: Simplify right side
    706,180x = 822,135,718,089
  5. Step 5: Solve for x
    x = 822,135,718,089/706,180
  6. Step 6: Final answer
    x = 1,164,201.36

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.