Finding the Third Proportional to 472,557 and 1,023,846
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Solution
The third proportional to 472,557 and 1,023,846 is: 2,218,273.42
Step by Step Solution
- Step 1: Write the proportion equation
472,557 : 1,023,846 = 1,023,846 : x - Step 2: Convert to fraction form
472,557/1,023,846 = 1,023,846/x - Step 3: Cross multiply
472,557x = 1,023,846 × 1,023,846 - Step 4: Simplify right side
472,557x = 1,048,260,631,716 - Step 5: Solve for x
x = 1,048,260,631,716/472,557 - Step 6: Final answer
x = 2,218,273.42
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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.