Finding the Third Proportional to 490,114 and 1,061,651
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Solution
The third proportional to 490,114 and 1,061,651 is: 2,299,674.86
Step by Step Solution
- Step 1: Write the proportion equation
490,114 : 1,061,651 = 1,061,651 : x - Step 2: Convert to fraction form
490,114/1,061,651 = 1,061,651/x - Step 3: Cross multiply
490,114x = 1,061,651 × 1,061,651 - Step 4: Simplify right side
490,114x = 1,127,102,845,801 - Step 5: Solve for x
x = 1,127,102,845,801/490,114 - Step 6: Final answer
x = 2,299,674.86
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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.