Finding the Third Proportional to 451,884 and 978,162
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Solution
The third proportional to 451,884 and 978,162 is: 2,117,359.54
Step by Step Solution
- Step 1: Write the proportion equation
451,884 : 978,162 = 978,162 : x - Step 2: Convert to fraction form
451,884/978,162 = 978,162/x - Step 3: Cross multiply
451,884x = 978,162 × 978,162 - Step 4: Simplify right side
451,884x = 956,800,898,244 - Step 5: Solve for x
x = 956,800,898,244/451,884 - Step 6: Final answer
x = 2,117,359.54
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.