Finding the Third Proportional to 824,856 and 1,236,900
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Solution
The third proportional to 824,856 and 1,236,900 is: 1,854,774.18
Step by Step Solution
- Step 1: Write the proportion equation
824,856 : 1,236,900 = 1,236,900 : x - Step 2: Convert to fraction form
824,856/1,236,900 = 1,236,900/x - Step 3: Cross multiply
824,856x = 1,236,900 × 1,236,900 - Step 4: Simplify right side
824,856x = 1,529,921,610,000 - Step 5: Solve for x
x = 1,529,921,610,000/824,856 - Step 6: Final answer
x = 1,854,774.18
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.