Finding the Third Proportional to 978,016 and 1,496,085
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Solution
The third proportional to 978,016 and 1,496,085 is: 2,288,582.53
Step by Step Solution
- Step 1: Write the proportion equation
978,016 : 1,496,085 = 1,496,085 : x - Step 2: Convert to fraction form
978,016/1,496,085 = 1,496,085/x - Step 3: Cross multiply
978,016x = 1,496,085 × 1,496,085 - Step 4: Simplify right side
978,016x = 2,238,270,327,225 - Step 5: Solve for x
x = 2,238,270,327,225/978,016 - Step 6: Final answer
x = 2,288,582.53
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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.