Finding the Third Proportional to 900 and 1,386
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Solution
The third proportional to 900 and 1,386 is: 2,134.44
Step by Step Solution
- Step 1: Write the proportion equation
900 : 1,386 = 1,386 : x - Step 2: Convert to fraction form
900/1,386 = 1,386/x - Step 3: Cross multiply
900x = 1,386 × 1,386 - Step 4: Simplify right side
900x = 1,920,996 - Step 5: Solve for x
x = 1,920,996/900 - Step 6: Final answer
x = 2,134.44
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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.