Finding the Third Proportional to 828,434,216 and 1,286,302,053
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Solution
The third proportional to 828,434,216 and 1,286,302,053 is: 1,997,229,157.85
Step by Step Solution
- Step 1: Write the proportion equation
828,434,216 : 1,286,302,053 = 1,286,302,053 : x - Step 2: Convert to fraction form
828,434,216/1,286,302,053 = 1,286,302,053/x - Step 3: Cross multiply
828,434,216x = 1,286,302,053 × 1,286,302,053 - Step 4: Simplify right side
828,434,216x = 1,654,572,971,552,014,848 - Step 5: Solve for x
x = 1,654,572,971,552,014,848/828,434,216 - Step 6: Final answer
x = 1,997,229,157.85
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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.