Finding the Third Proportional to 678,986 and 1,413,738
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Solution
The third proportional to 678,986 and 1,413,738 is: 2,943,588.13
Step by Step Solution
- Step 1: Write the proportion equation
678,986 : 1,413,738 = 1,413,738 : x - Step 2: Convert to fraction form
678,986/1,413,738 = 1,413,738/x - Step 3: Cross multiply
678,986x = 1,413,738 × 1,413,738 - Step 4: Simplify right side
678,986x = 1,998,655,132,644 - Step 5: Solve for x
x = 1,998,655,132,644/678,986 - Step 6: Final answer
x = 2,943,588.13
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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.