Finding the Third Proportional to 899 and 2,084
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Solution
The third proportional to 899 and 2,084 is: 4,830.99
Step by Step Solution
- Step 1: Write the proportion equation
899 : 2,084 = 2,084 : x - Step 2: Convert to fraction form
899/2,084 = 2,084/x - Step 3: Cross multiply
899x = 2,084 × 2,084 - Step 4: Simplify right side
899x = 4,343,056 - Step 5: Solve for x
x = 4,343,056/899 - Step 6: Final answer
x = 4,830.99
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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.