Finding the Third Proportional to 456,872 and 981,784
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Solution
The third proportional to 456,872 and 981,784 is: 2,109,780.91
Step by Step Solution
- Step 1: Write the proportion equation
456,872 : 981,784 = 981,784 : x - Step 2: Convert to fraction form
456,872/981,784 = 981,784/x - Step 3: Cross multiply
456,872x = 981,784 × 981,784 - Step 4: Simplify right side
456,872x = 963,899,822,656 - Step 5: Solve for x
x = 963,899,822,656/456,872 - Step 6: Final answer
x = 2,109,780.91
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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.