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Finding the Third Proportional to 405,934 and 871,721

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Solution

The third proportional to 405,934 and 871,721 is: 1,871,973.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,934 : 871,721 = 871,721 : x
  2. Step 2: Convert to fraction form
    405,934/871,721 = 871,721/x
  3. Step 3: Cross multiply
    405,934x = 871,721 × 871,721
  4. Step 4: Simplify right side
    405,934x = 759,897,501,841
  5. Step 5: Solve for x
    x = 759,897,501,841/405,934
  6. Step 6: Final answer
    x = 1,871,973.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.