Finding the Third Proportional to 896,059,282 and 1,405,651,342
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Solution
The third proportional to 896,059,282 and 1,405,651,342 is: 2,205,050,195.85
Step by Step Solution
- Step 1: Write the proportion equation
896,059,282 : 1,405,651,342 = 1,405,651,342 : x - Step 2: Convert to fraction form
896,059,282/1,405,651,342 = 1,405,651,342/x - Step 3: Cross multiply
896,059,282x = 1,405,651,342 × 1,405,651,342 - Step 4: Simplify right side
896,059,282x = 1,975,855,695,266,401,024 - Step 5: Solve for x
x = 1,975,855,695,266,401,024/896,059,282 - Step 6: Final answer
x = 2,205,050,195.85
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Why These Related Problems?
These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.