Finding the Third Proportional to 510,962 and 1,074,842
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Solution
The third proportional to 510,962 and 1,074,842 is: 2,261,000.48
Step by Step Solution
- Step 1: Write the proportion equation
510,962 : 1,074,842 = 1,074,842 : x - Step 2: Convert to fraction form
510,962/1,074,842 = 1,074,842/x - Step 3: Cross multiply
510,962x = 1,074,842 × 1,074,842 - Step 4: Simplify right side
510,962x = 1,155,285,324,964 - Step 5: Solve for x
x = 1,155,285,324,964/510,962 - Step 6: Final answer
x = 2,261,000.48
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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.