Finding the Third Proportional to 614,880 and 1,328,064
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Solution
The third proportional to 614,880 and 1,328,064 is: 2,868,452.36
Step by Step Solution
- Step 1: Write the proportion equation
614,880 : 1,328,064 = 1,328,064 : x - Step 2: Convert to fraction form
614,880/1,328,064 = 1,328,064/x - Step 3: Cross multiply
614,880x = 1,328,064 × 1,328,064 - Step 4: Simplify right side
614,880x = 1,763,753,988,096 - Step 5: Solve for x
x = 1,763,753,988,096/614,880 - Step 6: Final answer
x = 2,868,452.36
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.