Finding the Third Proportional to 442,719 and 978,467
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Solution
The third proportional to 442,719 and 978,467 is: 2,162,540.28
Step by Step Solution
- Step 1: Write the proportion equation
442,719 : 978,467 = 978,467 : x - Step 2: Convert to fraction form
442,719/978,467 = 978,467/x - Step 3: Cross multiply
442,719x = 978,467 × 978,467 - Step 4: Simplify right side
442,719x = 957,397,670,089 - Step 5: Solve for x
x = 957,397,670,089/442,719 - Step 6: Final answer
x = 2,162,540.28
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Why These Related Problems?
These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.