Finding the Third Proportional to 619 and 1,136
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Solution
The third proportional to 619 and 1,136 is: 2,084.81
Step by Step Solution
- Step 1: Write the proportion equation
619 : 1,136 = 1,136 : x - Step 2: Convert to fraction form
619/1,136 = 1,136/x - Step 3: Cross multiply
619x = 1,136 × 1,136 - Step 4: Simplify right side
619x = 1,290,496 - Step 5: Solve for x
x = 1,290,496/619 - Step 6: Final answer
x = 2,084.81
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These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.