Finding the Third Proportional to 769,004 and 1,682,761
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Solution
The third proportional to 769,004 and 1,682,761 is: 3,682,275.49
Step by Step Solution
- Step 1: Write the proportion equation
769,004 : 1,682,761 = 1,682,761 : x - Step 2: Convert to fraction form
769,004/1,682,761 = 1,682,761/x - Step 3: Cross multiply
769,004x = 1,682,761 × 1,682,761 - Step 4: Simplify right side
769,004x = 2,831,684,583,121 - Step 5: Solve for x
x = 2,831,684,583,121/769,004 - Step 6: Final answer
x = 3,682,275.49
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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.