Finding the Third Proportional to 461,251,896 and 742,767,474
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Solution
The third proportional to 461,251,896 and 742,767,474 is: 1,196,100,276.70
Step by Step Solution
- Step 1: Write the proportion equation
461,251,896 : 742,767,474 = 742,767,474 : x - Step 2: Convert to fraction form
461,251,896/742,767,474 = 742,767,474/x - Step 3: Cross multiply
461,251,896x = 742,767,474 × 742,767,474 - Step 4: Simplify right side
461,251,896x = 551,703,520,432,340,672 - Step 5: Solve for x
x = 551,703,520,432,340,672/461,251,896 - Step 6: Final answer
x = 1,196,100,276.70
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Why These Related Problems?
These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.