Finding the Third Proportional to 409,256 and 894,416
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Solution
The third proportional to 409,256 and 894,416 is: 1,954,717.78
Step by Step Solution
- Step 1: Write the proportion equation
409,256 : 894,416 = 894,416 : x - Step 2: Convert to fraction form
409,256/894,416 = 894,416/x - Step 3: Cross multiply
409,256x = 894,416 × 894,416 - Step 4: Simplify right side
409,256x = 799,979,981,056 - Step 5: Solve for x
x = 799,979,981,056/409,256 - Step 6: Final answer
x = 1,954,717.78
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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.