Finding the Third Proportional to 1,784 and 2,622
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Solution
The third proportional to 1,784 and 2,622 is: 3,853.63
Step by Step Solution
- Step 1: Write the proportion equation
1,784 : 2,622 = 2,622 : x - Step 2: Convert to fraction form
1,784/2,622 = 2,622/x - Step 3: Cross multiply
1,784x = 2,622 × 2,622 - Step 4: Simplify right side
1,784x = 6,874,884 - Step 5: Solve for x
x = 6,874,884/1,784 - Step 6: Final answer
x = 3,853.63
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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.