Finding the Third Proportional to 491,593,410 and 1,053,305,820
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Solution
The third proportional to 491,593,410 and 1,053,305,820 is: 2,256,851,145.43
Step by Step Solution
- Step 1: Write the proportion equation
491,593,410 : 1,053,305,820 = 1,053,305,820 : x - Step 2: Convert to fraction form
491,593,410/1,053,305,820 = 1,053,305,820/x - Step 3: Cross multiply
491,593,410x = 1,053,305,820 × 1,053,305,820 - Step 4: Simplify right side
491,593,410x = 1,109,453,150,445,872,384 - Step 5: Solve for x
x = 1,109,453,150,445,872,384/491,593,410 - Step 6: Final answer
x = 2,256,851,145.43
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.