Finding the Third Proportional to 646,275 and 1,022,871
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Solution
The third proportional to 646,275 and 1,022,871 is: 1,618,916.22
Step by Step Solution
- Step 1: Write the proportion equation
646,275 : 1,022,871 = 1,022,871 : x - Step 2: Convert to fraction form
646,275/1,022,871 = 1,022,871/x - Step 3: Cross multiply
646,275x = 1,022,871 × 1,022,871 - Step 4: Simplify right side
646,275x = 1,046,265,082,641 - Step 5: Solve for x
x = 1,046,265,082,641/646,275 - Step 6: Final answer
x = 1,618,916.22
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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.