Finding the Third Proportional to 512,853 and 1,116,012
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Solution
The third proportional to 512,853 and 1,116,012 is: 2,428,537.58
Step by Step Solution
- Step 1: Write the proportion equation
512,853 : 1,116,012 = 1,116,012 : x - Step 2: Convert to fraction form
512,853/1,116,012 = 1,116,012/x - Step 3: Cross multiply
512,853x = 1,116,012 × 1,116,012 - Step 4: Simplify right side
512,853x = 1,245,482,784,144 - Step 5: Solve for x
x = 1,245,482,784,144/512,853 - Step 6: Final answer
x = 2,428,537.58
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.