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Finding the Third Proportional to 706,204 and 1,080,500

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Solution

The third proportional to 706,204 and 1,080,500 is: 1,653,177.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,204 : 1,080,500 = 1,080,500 : x
  2. Step 2: Convert to fraction form
    706,204/1,080,500 = 1,080,500/x
  3. Step 3: Cross multiply
    706,204x = 1,080,500 × 1,080,500
  4. Step 4: Simplify right side
    706,204x = 1,167,480,250,000
  5. Step 5: Solve for x
    x = 1,167,480,250,000/706,204
  6. Step 6: Final answer
    x = 1,653,177.06

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.