Finding the Third Proportional to 509,471,544 and 1,091,638,992
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Solution
The third proportional to 509,471,544 and 1,091,638,992 is: 2,339,042,686.27
Step by Step Solution
- Step 1: Write the proportion equation
509,471,544 : 1,091,638,992 = 1,091,638,992 : x - Step 2: Convert to fraction form
509,471,544/1,091,638,992 = 1,091,638,992/x - Step 3: Cross multiply
509,471,544x = 1,091,638,992 × 1,091,638,992 - Step 4: Simplify right side
509,471,544x = 1,191,675,688,854,776,064 - Step 5: Solve for x
x = 1,191,675,688,854,776,064/509,471,544 - Step 6: Final answer
x = 2,339,042,686.27
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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.