Finding the Third Proportional to 971,077,548 and 1,419,749,328
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Solution
The third proportional to 971,077,548 and 1,419,749,328 is: 2,075,723,157.75
Step by Step Solution
- Step 1: Write the proportion equation
971,077,548 : 1,419,749,328 = 1,419,749,328 : x - Step 2: Convert to fraction form
971,077,548/1,419,749,328 = 1,419,749,328/x - Step 3: Cross multiply
971,077,548x = 1,419,749,328 × 1,419,749,328 - Step 4: Simplify right side
971,077,548x = 2,015,688,154,356,451,584 - Step 5: Solve for x
x = 2,015,688,154,356,451,584/971,077,548 - Step 6: Final answer
x = 2,075,723,157.75
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Why These Related Problems?
These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.