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Finding the Third Proportional to 524,175.75 and 1,134,039.38

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Solution

The third proportional to 524,175.75 and 1,134,039.38 is: 2,453,462.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,175.75 : 1,134,039.38 = 1,134,039.38 : x
  2. Step 2: Convert to fraction form
    524,175.75/1,134,039.38 = 1,134,039.38/x
  3. Step 3: Cross multiply
    524,175.75x = 1,134,039.38 × 1,134,039.38
  4. Step 4: Simplify right side
    524,175.75x = 1,286,045,304,050.39
  5. Step 5: Solve for x
    x = 1,286,045,304,050.39/524,175.75
  6. Step 6: Final answer
    x = 2,453,462.04

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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.