Finding the Third Proportional to 460,924,020 and 1,013,784,741
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Solution
The third proportional to 460,924,020 and 1,013,784,741 is: 2,229,780,737.15
Step by Step Solution
- Step 1: Write the proportion equation
460,924,020 : 1,013,784,741 = 1,013,784,741 : x - Step 2: Convert to fraction form
460,924,020/1,013,784,741 = 1,013,784,741/x - Step 3: Cross multiply
460,924,020x = 1,013,784,741 × 1,013,784,741 - Step 4: Simplify right side
460,924,020x = 1,027,759,501,084,437,120 - Step 5: Solve for x
x = 1,027,759,501,084,437,120/460,924,020 - Step 6: Final answer
x = 2,229,780,737.15
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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.