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Finding the Third Proportional to 757,170 and 1,619,397

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Solution

The third proportional to 757,170 and 1,619,397 is: 3,463,484.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    757,170 : 1,619,397 = 1,619,397 : x
  2. Step 2: Convert to fraction form
    757,170/1,619,397 = 1,619,397/x
  3. Step 3: Cross multiply
    757,170x = 1,619,397 × 1,619,397
  4. Step 4: Simplify right side
    757,170x = 2,622,446,643,609
  5. Step 5: Solve for x
    x = 2,622,446,643,609/757,170
  6. Step 6: Final answer
    x = 3,463,484.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.