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Finding the Third Proportional to 437,971 and 941,407

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Solution

The third proportional to 437,971 and 941,407 is: 2,023,529.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,971 : 941,407 = 941,407 : x
  2. Step 2: Convert to fraction form
    437,971/941,407 = 941,407/x
  3. Step 3: Cross multiply
    437,971x = 941,407 × 941,407
  4. Step 4: Simplify right side
    437,971x = 886,247,139,649
  5. Step 5: Solve for x
    x = 886,247,139,649/437,971
  6. Step 6: Final answer
    x = 2,023,529.27

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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.