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Finding the Third Proportional to 525,956.41 and 1,134,950.48

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Solution

The third proportional to 525,956.41 and 1,134,950.48 is: 2,449,086.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,956.41 : 1,134,950.48 = 1,134,950.48 : x
  2. Step 2: Convert to fraction form
    525,956.41/1,134,950.48 = 1,134,950.48/x
  3. Step 3: Cross multiply
    525,956.41x = 1,134,950.48 × 1,134,950.48
  4. Step 4: Simplify right side
    525,956.41x = 1,288,112,601,983.05
  5. Step 5: Solve for x
    x = 1,288,112,601,983.05/525,956.41
  6. Step 6: Final answer
    x = 2,449,086.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.