Finding the Third Proportional to 420,230 and 971,843
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Solution
The third proportional to 420,230 and 971,843 is: 2,247,528.30
Step by Step Solution
- Step 1: Write the proportion equation
420,230 : 971,843 = 971,843 : x - Step 2: Convert to fraction form
420,230/971,843 = 971,843/x - Step 3: Cross multiply
420,230x = 971,843 × 971,843 - Step 4: Simplify right side
420,230x = 944,478,816,649 - Step 5: Solve for x
x = 944,478,816,649/420,230 - Step 6: Final answer
x = 2,247,528.30
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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.