Finding the Third Proportional to 829,686 and 1,303,688
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Solution
The third proportional to 829,686 and 1,303,688 is: 2,048,488.71
Step by Step Solution
- Step 1: Write the proportion equation
829,686 : 1,303,688 = 1,303,688 : x - Step 2: Convert to fraction form
829,686/1,303,688 = 1,303,688/x - Step 3: Cross multiply
829,686x = 1,303,688 × 1,303,688 - Step 4: Simplify right side
829,686x = 1,699,602,401,344 - Step 5: Solve for x
x = 1,699,602,401,344/829,686 - Step 6: Final answer
x = 2,048,488.71
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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.