Finding the Third Proportional to 461,982,414 and 1,027,256,811
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Solution
The third proportional to 461,982,414 and 1,027,256,811 is: 2,284,192,046.64
Step by Step Solution
- Step 1: Write the proportion equation
461,982,414 : 1,027,256,811 = 1,027,256,811 : x - Step 2: Convert to fraction form
461,982,414/1,027,256,811 = 1,027,256,811/x - Step 3: Cross multiply
461,982,414x = 1,027,256,811 × 1,027,256,811 - Step 4: Simplify right side
461,982,414x = 1,055,256,555,745,889,664 - Step 5: Solve for x
x = 1,055,256,555,745,889,664/461,982,414 - Step 6: Final answer
x = 2,284,192,046.64
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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.