Finding the Third Proportional to 656,064 and 1,420,944
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Solution
The third proportional to 656,064 and 1,420,944 is: 3,077,568.42
Step by Step Solution
- Step 1: Write the proportion equation
656,064 : 1,420,944 = 1,420,944 : x - Step 2: Convert to fraction form
656,064/1,420,944 = 1,420,944/x - Step 3: Cross multiply
656,064x = 1,420,944 × 1,420,944 - Step 4: Simplify right side
656,064x = 2,019,081,851,136 - Step 5: Solve for x
x = 2,019,081,851,136/656,064 - Step 6: Final answer
x = 3,077,568.42
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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.