Finding the Third Proportional to 492,142,400 and 1,161,748,532
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Solution
The third proportional to 492,142,400 and 1,161,748,532 is: 2,742,416,933.81
Step by Step Solution
- Step 1: Write the proportion equation
492,142,400 : 1,161,748,532 = 1,161,748,532 : x - Step 2: Convert to fraction form
492,142,400/1,161,748,532 = 1,161,748,532/x - Step 3: Cross multiply
492,142,400x = 1,161,748,532 × 1,161,748,532 - Step 4: Simplify right side
492,142,400x = 1,349,659,651,604,155,136 - Step 5: Solve for x
x = 1,349,659,651,604,155,136/492,142,400 - Step 6: Final answer
x = 2,742,416,933.81
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Why These Related Problems?
These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.