Finding the Third Proportional to 416,390,885 and 646,824,329
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Solution
The third proportional to 416,390,885 and 646,824,329 is: 1,004,781,150.74
Step by Step Solution
- Step 1: Write the proportion equation
416,390,885 : 646,824,329 = 646,824,329 : x - Step 2: Convert to fraction form
416,390,885/646,824,329 = 646,824,329/x - Step 3: Cross multiply
416,390,885x = 646,824,329 × 646,824,329 - Step 4: Simplify right side
416,390,885x = 418,381,712,586,300,224 - Step 5: Solve for x
x = 418,381,712,586,300,224/416,390,885 - Step 6: Final answer
x = 1,004,781,150.74
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Why These Related Problems?
These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.