Finding the Third Proportional to 910,414 and 1,406,688
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Solution
The third proportional to 910,414 and 1,406,688 is: 2,173,484.95
Step by Step Solution
- Step 1: Write the proportion equation
910,414 : 1,406,688 = 1,406,688 : x - Step 2: Convert to fraction form
910,414/1,406,688 = 1,406,688/x - Step 3: Cross multiply
910,414x = 1,406,688 × 1,406,688 - Step 4: Simplify right side
910,414x = 1,978,771,129,344 - Step 5: Solve for x
x = 1,978,771,129,344/910,414 - Step 6: Final answer
x = 2,173,484.95
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.