Finding the Third Proportional to 284,817,960 and 584,734,968
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Solution
The third proportional to 284,817,960 and 584,734,968 is: 1,200,468,477.49
Step by Step Solution
- Step 1: Write the proportion equation
284,817,960 : 584,734,968 = 584,734,968 : x - Step 2: Convert to fraction form
284,817,960/584,734,968 = 584,734,968/x - Step 3: Cross multiply
284,817,960x = 584,734,968 × 584,734,968 - Step 4: Simplify right side
284,817,960x = 341,914,982,801,961,024 - Step 5: Solve for x
x = 341,914,982,801,961,024/284,817,960 - Step 6: Final answer
x = 1,200,468,477.49
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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.