Finding the Third Proportional to 780,424 and 1,140,828
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Solution
The third proportional to 780,424 and 1,140,828 is: 1,667,668.51
Step by Step Solution
- Step 1: Write the proportion equation
780,424 : 1,140,828 = 1,140,828 : x - Step 2: Convert to fraction form
780,424/1,140,828 = 1,140,828/x - Step 3: Cross multiply
780,424x = 1,140,828 × 1,140,828 - Step 4: Simplify right side
780,424x = 1,301,488,525,584 - Step 5: Solve for x
x = 1,301,488,525,584/780,424 - Step 6: Final answer
x = 1,667,668.51
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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.