Finding the Third Proportional to 509,471,538 and 1,091,638,980
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Solution
The third proportional to 509,471,538 and 1,091,638,980 is: 2,339,042,662.39
Step by Step Solution
- Step 1: Write the proportion equation
509,471,538 : 1,091,638,980 = 1,091,638,980 : x - Step 2: Convert to fraction form
509,471,538/1,091,638,980 = 1,091,638,980/x - Step 3: Cross multiply
509,471,538x = 1,091,638,980 × 1,091,638,980 - Step 4: Simplify right side
509,471,538x = 1,191,675,662,655,440,384 - Step 5: Solve for x
x = 1,191,675,662,655,440,384/509,471,538 - Step 6: Final answer
x = 2,339,042,662.39
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.