Finding the Third Proportional to 472,000 and 1,022,704
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Solution
The third proportional to 472,000 and 1,022,704 is: 2,215,939.56
Step by Step Solution
- Step 1: Write the proportion equation
472,000 : 1,022,704 = 1,022,704 : x - Step 2: Convert to fraction form
472,000/1,022,704 = 1,022,704/x - Step 3: Cross multiply
472,000x = 1,022,704 × 1,022,704 - Step 4: Simplify right side
472,000x = 1,045,923,471,616 - Step 5: Solve for x
x = 1,045,923,471,616/472,000 - Step 6: Final answer
x = 2,215,939.56
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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.