Finding the Third Proportional to 940,729 and 1,413,212
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Solution
The third proportional to 940,729 and 1,413,212 is: 2,123,000.52
Step by Step Solution
- Step 1: Write the proportion equation
940,729 : 1,413,212 = 1,413,212 : x - Step 2: Convert to fraction form
940,729/1,413,212 = 1,413,212/x - Step 3: Cross multiply
940,729x = 1,413,212 × 1,413,212 - Step 4: Simplify right side
940,729x = 1,997,168,156,944 - Step 5: Solve for x
x = 1,997,168,156,944/940,729 - Step 6: Final answer
x = 2,123,000.52
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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.