Finding the Third Proportional to 506,535,876 and 756,822,012
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Solution
The third proportional to 506,535,876 and 756,822,012 is: 1,130,777,867.84
Step by Step Solution
- Step 1: Write the proportion equation
506,535,876 : 756,822,012 = 756,822,012 : x - Step 2: Convert to fraction form
506,535,876/756,822,012 = 756,822,012/x - Step 3: Cross multiply
506,535,876x = 756,822,012 × 756,822,012 - Step 4: Simplify right side
506,535,876x = 572,779,557,847,728,128 - Step 5: Solve for x
x = 572,779,557,847,728,128/506,535,876 - Step 6: Final answer
x = 1,130,777,867.84
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Why These Related Problems?
These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.