Finding the Third Proportional to 646,974 and 1,407,312
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Solution
The third proportional to 646,974 and 1,407,312 is: 3,061,215.85
Step by Step Solution
- Step 1: Write the proportion equation
646,974 : 1,407,312 = 1,407,312 : x - Step 2: Convert to fraction form
646,974/1,407,312 = 1,407,312/x - Step 3: Cross multiply
646,974x = 1,407,312 × 1,407,312 - Step 4: Simplify right side
646,974x = 1,980,527,065,344 - Step 5: Solve for x
x = 1,980,527,065,344/646,974 - Step 6: Final answer
x = 3,061,215.85
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.