Finding the Third Proportional to 491,974 and 1,061,464
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Solution
The third proportional to 491,974 and 1,061,464 is: 2,290,173.51
Step by Step Solution
- Step 1: Write the proportion equation
491,974 : 1,061,464 = 1,061,464 : x - Step 2: Convert to fraction form
491,974/1,061,464 = 1,061,464/x - Step 3: Cross multiply
491,974x = 1,061,464 × 1,061,464 - Step 4: Simplify right side
491,974x = 1,126,705,823,296 - Step 5: Solve for x
x = 1,126,705,823,296/491,974 - Step 6: Final answer
x = 2,290,173.51
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.