Finding the Third Proportional to 415,404 and 978,019
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Solution
The third proportional to 415,404 and 978,019 is: 2,302,628.68
Step by Step Solution
- Step 1: Write the proportion equation
415,404 : 978,019 = 978,019 : x - Step 2: Convert to fraction form
415,404/978,019 = 978,019/x - Step 3: Cross multiply
415,404x = 978,019 × 978,019 - Step 4: Simplify right side
415,404x = 956,521,164,361 - Step 5: Solve for x
x = 956,521,164,361/415,404 - Step 6: Final answer
x = 2,302,628.68
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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.