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Finding the Third Proportional to 852,576.89 and 1,823,320.13

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Solution

The third proportional to 852,576.89 and 1,823,320.13 is: 3,899,350.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,576.89 : 1,823,320.13 = 1,823,320.13 : x
  2. Step 2: Convert to fraction form
    852,576.89/1,823,320.13 = 1,823,320.13/x
  3. Step 3: Cross multiply
    852,576.89x = 1,823,320.13 × 1,823,320.13
  4. Step 4: Simplify right side
    852,576.89x = 3,324,496,278,230.02
  5. Step 5: Solve for x
    x = 3,324,496,278,230.02/852,576.89
  6. Step 6: Final answer
    x = 3,899,350.68

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.