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Finding the Third Proportional to 524,954.25 and 1,083,024

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Solution

The third proportional to 524,954.25 and 1,083,024 is: 2,234,368.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,954.25 : 1,083,024 = 1,083,024 : x
  2. Step 2: Convert to fraction form
    524,954.25/1,083,024 = 1,083,024/x
  3. Step 3: Cross multiply
    524,954.25x = 1,083,024 × 1,083,024
  4. Step 4: Simplify right side
    524,954.25x = 1,172,940,984,576
  5. Step 5: Solve for x
    x = 1,172,940,984,576/524,954.25
  6. Step 6: Final answer
    x = 2,234,368.01

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These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.