Finding the Third Proportional to 412,611,742 and 617,283,771
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Solution
The third proportional to 412,611,742 and 617,283,771 is: 923,481,363.12
Step by Step Solution
- Step 1: Write the proportion equation
412,611,742 : 617,283,771 = 617,283,771 : x - Step 2: Convert to fraction form
412,611,742/617,283,771 = 617,283,771/x - Step 3: Cross multiply
412,611,742x = 617,283,771 × 617,283,771 - Step 4: Simplify right side
412,611,742x = 381,039,253,939,980,416 - Step 5: Solve for x
x = 381,039,253,939,980,416/412,611,742 - Step 6: Final answer
x = 923,481,363.12
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.