Finding the Third Proportional to 897 and 1,820
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Solution
The third proportional to 897 and 1,820 is: 3,692.75
Step by Step Solution
- Step 1: Write the proportion equation
897 : 1,820 = 1,820 : x - Step 2: Convert to fraction form
897/1,820 = 1,820/x - Step 3: Cross multiply
897x = 1,820 × 1,820 - Step 4: Simplify right side
897x = 3,312,400 - Step 5: Solve for x
x = 3,312,400/897 - Step 6: Final answer
x = 3,692.75
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These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.