Finding the Third Proportional to 971,214 and 1,980,948
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Solution
The third proportional to 971,214 and 1,980,948 is: 4,040,463.77
Step by Step Solution
- Step 1: Write the proportion equation
971,214 : 1,980,948 = 1,980,948 : x - Step 2: Convert to fraction form
971,214/1,980,948 = 1,980,948/x - Step 3: Cross multiply
971,214x = 1,980,948 × 1,980,948 - Step 4: Simplify right side
971,214x = 3,924,154,978,704 - Step 5: Solve for x
x = 3,924,154,978,704/971,214 - Step 6: Final answer
x = 4,040,463.77
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Why These Related Problems?
These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.