Finding the Third Proportional to 260,038,614 and 541,600,546
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Solution
The third proportional to 260,038,614 and 541,600,546 is: 1,128,029,206.57
Step by Step Solution
- Step 1: Write the proportion equation
260,038,614 : 541,600,546 = 541,600,546 : x - Step 2: Convert to fraction form
260,038,614/541,600,546 = 541,600,546/x - Step 3: Cross multiply
260,038,614x = 541,600,546 × 541,600,546 - Step 4: Simplify right side
260,038,614x = 293,331,151,427,498,112 - Step 5: Solve for x
x = 293,331,151,427,498,112/260,038,614 - Step 6: Final answer
x = 1,128,029,206.57
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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.