Finding the Third Proportional to 491,025 and 1,059,513
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Solution
The third proportional to 491,025 and 1,059,513 is: 2,286,172.39
Step by Step Solution
- Step 1: Write the proportion equation
491,025 : 1,059,513 = 1,059,513 : x - Step 2: Convert to fraction form
491,025/1,059,513 = 1,059,513/x - Step 3: Cross multiply
491,025x = 1,059,513 × 1,059,513 - Step 4: Simplify right side
491,025x = 1,122,567,797,169 - Step 5: Solve for x
x = 1,122,567,797,169/491,025 - Step 6: Final answer
x = 2,286,172.39
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.