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Finding the Third Proportional to 524,157.75 and 1,134,000

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Solution

The third proportional to 524,157.75 and 1,134,000 is: 2,453,375.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,157.75 : 1,134,000 = 1,134,000 : x
  2. Step 2: Convert to fraction form
    524,157.75/1,134,000 = 1,134,000/x
  3. Step 3: Cross multiply
    524,157.75x = 1,134,000 × 1,134,000
  4. Step 4: Simplify right side
    524,157.75x = 1,285,956,000,000
  5. Step 5: Solve for x
    x = 1,285,956,000,000/524,157.75
  6. Step 6: Final answer
    x = 2,453,375.92

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