Finding the Third Proportional to 934 and 1,410
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Solution
The third proportional to 934 and 1,410 is: 2,128.59
Step by Step Solution
- Step 1: Write the proportion equation
934 : 1,410 = 1,410 : x - Step 2: Convert to fraction form
934/1,410 = 1,410/x - Step 3: Cross multiply
934x = 1,410 × 1,410 - Step 4: Simplify right side
934x = 1,988,100 - Step 5: Solve for x
x = 1,988,100/934 - Step 6: Final answer
x = 2,128.59
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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.