Finding the Third Proportional to 511,014 and 1,074,948
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Solution
The third proportional to 511,014 and 1,074,948 is: 2,261,216.33
Step by Step Solution
- Step 1: Write the proportion equation
511,014 : 1,074,948 = 1,074,948 : x - Step 2: Convert to fraction form
511,014/1,074,948 = 1,074,948/x - Step 3: Cross multiply
511,014x = 1,074,948 × 1,074,948 - Step 4: Simplify right side
511,014x = 1,155,513,202,704 - Step 5: Solve for x
x = 1,155,513,202,704/511,014 - Step 6: Final answer
x = 2,261,216.33
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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.