Finding the Third Proportional to 690,138 and 1,408,446
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Solution
The third proportional to 690,138 and 1,408,446 is: 2,874,381.84
Step by Step Solution
- Step 1: Write the proportion equation
690,138 : 1,408,446 = 1,408,446 : x - Step 2: Convert to fraction form
690,138/1,408,446 = 1,408,446/x - Step 3: Cross multiply
690,138x = 1,408,446 × 1,408,446 - Step 4: Simplify right side
690,138x = 1,983,720,134,916 - Step 5: Solve for x
x = 1,983,720,134,916/690,138 - Step 6: Final answer
x = 2,874,381.84
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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.