Finding the Third Proportional to 642,410 and 1,383,484
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Solution
The third proportional to 642,410 and 1,383,484 is: 2,979,449.23
Step by Step Solution
- Step 1: Write the proportion equation
642,410 : 1,383,484 = 1,383,484 : x - Step 2: Convert to fraction form
642,410/1,383,484 = 1,383,484/x - Step 3: Cross multiply
642,410x = 1,383,484 × 1,383,484 - Step 4: Simplify right side
642,410x = 1,914,027,978,256 - Step 5: Solve for x
x = 1,914,027,978,256/642,410 - Step 6: Final answer
x = 2,979,449.23
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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.