Finding the Third Proportional to 685,915 and 978,427
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Solution
The third proportional to 685,915 and 978,427 is: 1,395,682.26
Step by Step Solution
- Step 1: Write the proportion equation
685,915 : 978,427 = 978,427 : x - Step 2: Convert to fraction form
685,915/978,427 = 978,427/x - Step 3: Cross multiply
685,915x = 978,427 × 978,427 - Step 4: Simplify right side
685,915x = 957,319,394,329 - Step 5: Solve for x
x = 957,319,394,329/685,915 - Step 6: Final answer
x = 1,395,682.26
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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.