Finding the Third Proportional to 838,056 and 1,297,398
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Solution
The third proportional to 838,056 and 1,297,398 is: 2,008,507.27
Step by Step Solution
- Step 1: Write the proportion equation
838,056 : 1,297,398 = 1,297,398 : x - Step 2: Convert to fraction form
838,056/1,297,398 = 1,297,398/x - Step 3: Cross multiply
838,056x = 1,297,398 × 1,297,398 - Step 4: Simplify right side
838,056x = 1,683,241,570,404 - Step 5: Solve for x
x = 1,683,241,570,404/838,056 - Step 6: Final answer
x = 2,008,507.27
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.