Finding the Third Proportional to 456,205,124 and 659,137,766
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Solution
The third proportional to 456,205,124 and 659,137,766 is: 952,340,453.26
Step by Step Solution
- Step 1: Write the proportion equation
456,205,124 : 659,137,766 = 659,137,766 : x - Step 2: Convert to fraction form
456,205,124/659,137,766 = 659,137,766/x - Step 3: Cross multiply
456,205,124x = 659,137,766 × 659,137,766 - Step 4: Simplify right side
456,205,124x = 434,462,594,567,470,784 - Step 5: Solve for x
x = 434,462,594,567,470,784/456,205,124 - Step 6: Final answer
x = 952,340,453.26
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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.