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Finding the Third Proportional to 524,940.75 and 1,102,744.13

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Solution

The third proportional to 524,940.75 and 1,102,744.13 is: 2,316,536.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,940.75 : 1,102,744.13 = 1,102,744.13 : x
  2. Step 2: Convert to fraction form
    524,940.75/1,102,744.13 = 1,102,744.13/x
  3. Step 3: Cross multiply
    524,940.75x = 1,102,744.13 × 1,102,744.13
  4. Step 4: Simplify right side
    524,940.75x = 1,216,044,605,222.02
  5. Step 5: Solve for x
    x = 1,216,044,605,222.02/524,940.75
  6. Step 6: Final answer
    x = 2,316,536.88

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.