Finding the Third Proportional to 820,894 and 1,228,038
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Solution
The third proportional to 820,894 and 1,228,038 is: 1,837,115.79
Step by Step Solution
- Step 1: Write the proportion equation
820,894 : 1,228,038 = 1,228,038 : x - Step 2: Convert to fraction form
820,894/1,228,038 = 1,228,038/x - Step 3: Cross multiply
820,894x = 1,228,038 × 1,228,038 - Step 4: Simplify right side
820,894x = 1,508,077,329,444 - Step 5: Solve for x
x = 1,508,077,329,444/820,894 - Step 6: Final answer
x = 1,837,115.79
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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.