Finding the Third Proportional to 488,414 and 1,014,244
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Solution
The third proportional to 488,414 and 1,014,244 is: 2,106,186.33
Step by Step Solution
- Step 1: Write the proportion equation
488,414 : 1,014,244 = 1,014,244 : x - Step 2: Convert to fraction form
488,414/1,014,244 = 1,014,244/x - Step 3: Cross multiply
488,414x = 1,014,244 × 1,014,244 - Step 4: Simplify right side
488,414x = 1,028,690,891,536 - Step 5: Solve for x
x = 1,028,690,891,536/488,414 - Step 6: Final answer
x = 2,106,186.33
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Why These Related Problems?
These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.