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Finding the Third Proportional to 433,869 and 940,731

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Solution

The third proportional to 433,869 and 940,731 is: 2,039,728.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,869 : 940,731 = 940,731 : x
  2. Step 2: Convert to fraction form
    433,869/940,731 = 940,731/x
  3. Step 3: Cross multiply
    433,869x = 940,731 × 940,731
  4. Step 4: Simplify right side
    433,869x = 884,974,814,361
  5. Step 5: Solve for x
    x = 884,974,814,361/433,869
  6. Step 6: Final answer
    x = 2,039,728.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.