Finding the Third Proportional to 459,432,231 and 1,008,131,970
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Solution
The third proportional to 459,432,231 and 1,008,131,970 is: 2,212,143,598.90
Step by Step Solution
- Step 1: Write the proportion equation
459,432,231 : 1,008,131,970 = 1,008,131,970 : x - Step 2: Convert to fraction form
459,432,231/1,008,131,970 = 1,008,131,970/x - Step 3: Cross multiply
459,432,231x = 1,008,131,970 × 1,008,131,970 - Step 4: Simplify right side
459,432,231x = 1,016,330,068,936,080,896 - Step 5: Solve for x
x = 1,016,330,068,936,080,896/459,432,231 - Step 6: Final answer
x = 2,212,143,598.90
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.