Finding the Third Proportional to 471,126 and 1,031,971
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Solution
The third proportional to 471,126 and 1,031,971 is: 2,260,465.66
Step by Step Solution
- Step 1: Write the proportion equation
471,126 : 1,031,971 = 1,031,971 : x - Step 2: Convert to fraction form
471,126/1,031,971 = 1,031,971/x - Step 3: Cross multiply
471,126x = 1,031,971 × 1,031,971 - Step 4: Simplify right side
471,126x = 1,064,964,144,841 - Step 5: Solve for x
x = 1,064,964,144,841/471,126 - Step 6: Final answer
x = 2,260,465.66
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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.