Finding the Third Proportional to 827,460 and 1,264,950
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Solution
The third proportional to 827,460 and 1,264,950 is: 1,933,747.25
Step by Step Solution
- Step 1: Write the proportion equation
827,460 : 1,264,950 = 1,264,950 : x - Step 2: Convert to fraction form
827,460/1,264,950 = 1,264,950/x - Step 3: Cross multiply
827,460x = 1,264,950 × 1,264,950 - Step 4: Simplify right side
827,460x = 1,600,098,502,500 - Step 5: Solve for x
x = 1,600,098,502,500/827,460 - Step 6: Final answer
x = 1,933,747.25
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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.