Finding the Third Proportional to 455,872 and 978,204
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Solution
The third proportional to 455,872 and 978,204 is: 2,099,016.97
Step by Step Solution
- Step 1: Write the proportion equation
455,872 : 978,204 = 978,204 : x - Step 2: Convert to fraction form
455,872/978,204 = 978,204/x - Step 3: Cross multiply
455,872x = 978,204 × 978,204 - Step 4: Simplify right side
455,872x = 956,883,065,616 - Step 5: Solve for x
x = 956,883,065,616/455,872 - Step 6: Final answer
x = 2,099,016.97
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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.