Finding the Third Proportional to 831,814 and 1,703,044
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Solution
The third proportional to 831,814 and 1,703,044 is: 3,486,787.75
Step by Step Solution
- Step 1: Write the proportion equation
831,814 : 1,703,044 = 1,703,044 : x - Step 2: Convert to fraction form
831,814/1,703,044 = 1,703,044/x - Step 3: Cross multiply
831,814x = 1,703,044 × 1,703,044 - Step 4: Simplify right side
831,814x = 2,900,358,865,936 - Step 5: Solve for x
x = 2,900,358,865,936/831,814 - Step 6: Final answer
x = 3,486,787.75
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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.