Finding the Third Proportional to 448,856 and 978,064
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Solution
The third proportional to 448,856 and 978,064 is: 2,131,216.22
Step by Step Solution
- Step 1: Write the proportion equation
448,856 : 978,064 = 978,064 : x - Step 2: Convert to fraction form
448,856/978,064 = 978,064/x - Step 3: Cross multiply
448,856x = 978,064 × 978,064 - Step 4: Simplify right side
448,856x = 956,609,188,096 - Step 5: Solve for x
x = 956,609,188,096/448,856 - Step 6: Final answer
x = 2,131,216.22
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.