Finding the Third Proportional to 831,832 and 1,703,074
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Solution
The third proportional to 831,832 and 1,703,074 is: 3,486,835.14
Step by Step Solution
- Step 1: Write the proportion equation
831,832 : 1,703,074 = 1,703,074 : x - Step 2: Convert to fraction form
831,832/1,703,074 = 1,703,074/x - Step 3: Cross multiply
831,832x = 1,703,074 × 1,703,074 - Step 4: Simplify right side
831,832x = 2,900,461,049,476 - Step 5: Solve for x
x = 2,900,461,049,476/831,832 - Step 6: Final answer
x = 3,486,835.14
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Why These Related Problems?
These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.