Finding the Third Proportional to 678,988 and 1,413,742
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Solution
The third proportional to 678,988 and 1,413,742 is: 2,943,596.12
Step by Step Solution
- Step 1: Write the proportion equation
678,988 : 1,413,742 = 1,413,742 : x - Step 2: Convert to fraction form
678,988/1,413,742 = 1,413,742/x - Step 3: Cross multiply
678,988x = 1,413,742 × 1,413,742 - Step 4: Simplify right side
678,988x = 1,998,666,442,564 - Step 5: Solve for x
x = 1,998,666,442,564/678,988 - Step 6: Final answer
x = 2,943,596.12
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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.