Finding the Third Proportional to 314,114,973 and 690,541,404
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Solution
The third proportional to 314,114,973 and 690,541,404 is: 1,518,066,541.32
Step by Step Solution
- Step 1: Write the proportion equation
314,114,973 : 690,541,404 = 690,541,404 : x - Step 2: Convert to fraction form
314,114,973/690,541,404 = 690,541,404/x - Step 3: Cross multiply
314,114,973x = 690,541,404 × 690,541,404 - Step 4: Simplify right side
314,114,973x = 476,847,430,638,291,200 - Step 5: Solve for x
x = 476,847,430,638,291,200/314,114,973 - Step 6: Final answer
x = 1,518,066,541.32
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Why These Related Problems?
These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.