Finding the Third Proportional to 429,826 and 923,071
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Solution
The third proportional to 429,826 and 923,071 is: 1,982,337.20
Step by Step Solution
- Step 1: Write the proportion equation
429,826 : 923,071 = 923,071 : x - Step 2: Convert to fraction form
429,826/923,071 = 923,071/x - Step 3: Cross multiply
429,826x = 923,071 × 923,071 - Step 4: Simplify right side
429,826x = 852,060,071,041 - Step 5: Solve for x
x = 852,060,071,041/429,826 - Step 6: Final answer
x = 1,982,337.20
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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.