Finding the Third Proportional to 509,120 and 1,005,388
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Solution
The third proportional to 509,120 and 1,005,388 is: 1,985,396.43
Step by Step Solution
- Step 1: Write the proportion equation
509,120 : 1,005,388 = 1,005,388 : x - Step 2: Convert to fraction form
509,120/1,005,388 = 1,005,388/x - Step 3: Cross multiply
509,120x = 1,005,388 × 1,005,388 - Step 4: Simplify right side
509,120x = 1,010,805,030,544 - Step 5: Solve for x
x = 1,010,805,030,544/509,120 - Step 6: Final answer
x = 1,985,396.43
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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.