Finding the Third Proportional to 760,980 and 1,142,470
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Solution
The third proportional to 760,980 and 1,142,470 is: 1,715,206.31
Step by Step Solution
- Step 1: Write the proportion equation
760,980 : 1,142,470 = 1,142,470 : x - Step 2: Convert to fraction form
760,980/1,142,470 = 1,142,470/x - Step 3: Cross multiply
760,980x = 1,142,470 × 1,142,470 - Step 4: Simplify right side
760,980x = 1,305,237,700,900 - Step 5: Solve for x
x = 1,305,237,700,900/760,980 - Step 6: Final answer
x = 1,715,206.31
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.