Finding the Third Proportional to 509,230 and 1,109,770
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Solution
The third proportional to 509,230 and 1,109,770 is: 2,418,532.79
Step by Step Solution
- Step 1: Write the proportion equation
509,230 : 1,109,770 = 1,109,770 : x - Step 2: Convert to fraction form
509,230/1,109,770 = 1,109,770/x - Step 3: Cross multiply
509,230x = 1,109,770 × 1,109,770 - Step 4: Simplify right side
509,230x = 1,231,589,452,900 - Step 5: Solve for x
x = 1,231,589,452,900/509,230 - Step 6: Final answer
x = 2,418,532.79
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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.