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Finding the Third Proportional to 715,180 and 1,489,148

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Solution

The third proportional to 715,180 and 1,489,148 is: 3,100,704.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,180 : 1,489,148 = 1,489,148 : x
  2. Step 2: Convert to fraction form
    715,180/1,489,148 = 1,489,148/x
  3. Step 3: Cross multiply
    715,180x = 1,489,148 × 1,489,148
  4. Step 4: Simplify right side
    715,180x = 2,217,561,765,904
  5. Step 5: Solve for x
    x = 2,217,561,765,904/715,180
  6. Step 6: Final answer
    x = 3,100,704.39

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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.