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Finding the Third Proportional to 347,546 and 811,971

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Solution

The third proportional to 347,546 and 811,971 is: 1,897,006.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,546 : 811,971 = 811,971 : x
  2. Step 2: Convert to fraction form
    347,546/811,971 = 811,971/x
  3. Step 3: Cross multiply
    347,546x = 811,971 × 811,971
  4. Step 4: Simplify right side
    347,546x = 659,296,904,841
  5. Step 5: Solve for x
    x = 659,296,904,841/347,546
  6. Step 6: Final answer
    x = 1,897,006.17

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.