Finding the Third Proportional to 493,824 and 1,062,588
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Solution
The third proportional to 493,824 and 1,062,588 is: 2,286,428.48
Step by Step Solution
- Step 1: Write the proportion equation
493,824 : 1,062,588 = 1,062,588 : x - Step 2: Convert to fraction form
493,824/1,062,588 = 1,062,588/x - Step 3: Cross multiply
493,824x = 1,062,588 × 1,062,588 - Step 4: Simplify right side
493,824x = 1,129,093,257,744 - Step 5: Solve for x
x = 1,129,093,257,744/493,824 - Step 6: Final answer
x = 2,286,428.48
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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.