Finding the Third Proportional to 459,723 and 974,732
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Solution
The third proportional to 459,723 and 974,732 is: 2,066,684.66
Step by Step Solution
- Step 1: Write the proportion equation
459,723 : 974,732 = 974,732 : x - Step 2: Convert to fraction form
459,723/974,732 = 974,732/x - Step 3: Cross multiply
459,723x = 974,732 × 974,732 - Step 4: Simplify right side
459,723x = 950,102,471,824 - Step 5: Solve for x
x = 950,102,471,824/459,723 - Step 6: Final answer
x = 2,066,684.66
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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.