Finding the Third Proportional to 473,024,482 and 1,011,420,496
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Solution
The third proportional to 473,024,482 and 1,011,420,496 is: 2,162,618,339.34
Step by Step Solution
- Step 1: Write the proportion equation
473,024,482 : 1,011,420,496 = 1,011,420,496 : x - Step 2: Convert to fraction form
473,024,482/1,011,420,496 = 1,011,420,496/x - Step 3: Cross multiply
473,024,482x = 1,011,420,496 × 1,011,420,496 - Step 4: Simplify right side
473,024,482x = 1,022,971,419,728,886,016 - Step 5: Solve for x
x = 1,022,971,419,728,886,016/473,024,482 - Step 6: Final answer
x = 2,162,618,339.34
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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.