Finding the Third Proportional to 458,144 and 997,605
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Solution
The third proportional to 458,144 and 997,605 is: 2,172,277.14
Step by Step Solution
- Step 1: Write the proportion equation
458,144 : 997,605 = 997,605 : x - Step 2: Convert to fraction form
458,144/997,605 = 997,605/x - Step 3: Cross multiply
458,144x = 997,605 × 997,605 - Step 4: Simplify right side
458,144x = 995,215,736,025 - Step 5: Solve for x
x = 995,215,736,025/458,144 - Step 6: Final answer
x = 2,172,277.14
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.