Finding the Third Proportional to 405,531,911 and 832,562,288
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Solution
The third proportional to 405,531,911 and 832,562,288 is: 1,709,261,206.33
Step by Step Solution
- Step 1: Write the proportion equation
405,531,911 : 832,562,288 = 832,562,288 : x - Step 2: Convert to fraction form
405,531,911/832,562,288 = 832,562,288/x - Step 3: Cross multiply
405,531,911x = 832,562,288 × 832,562,288 - Step 4: Simplify right side
405,531,911x = 693,159,963,399,794,944 - Step 5: Solve for x
x = 693,159,963,399,794,944/405,531,911 - Step 6: Final answer
x = 1,709,261,206.33
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Why These Related Problems?
These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.