Finding the Third Proportional to 707,261 and 1,447,207
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Solution
The third proportional to 707,261 and 1,447,207 is: 2,961,294.49
Step by Step Solution
- Step 1: Write the proportion equation
707,261 : 1,447,207 = 1,447,207 : x - Step 2: Convert to fraction form
707,261/1,447,207 = 1,447,207/x - Step 3: Cross multiply
707,261x = 1,447,207 × 1,447,207 - Step 4: Simplify right side
707,261x = 2,094,408,100,849 - Step 5: Solve for x
x = 2,094,408,100,849/707,261 - Step 6: Final answer
x = 2,961,294.49
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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.