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Finding the Third Proportional to 852,636.38 and 1,823,416.31

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Solution

The third proportional to 852,636.38 and 1,823,416.31 is: 3,899,490.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,636.38 : 1,823,416.31 = 1,823,416.31 : x
  2. Step 2: Convert to fraction form
    852,636.38/1,823,416.31 = 1,823,416.31/x
  3. Step 3: Cross multiply
    852,636.38x = 1,823,416.31 × 1,823,416.31
  4. Step 4: Simplify right side
    852,636.38x = 3,324,847,048,691.10
  5. Step 5: Solve for x
    x = 3,324,847,048,691.10/852,636.38
  6. Step 6: Final answer
    x = 3,899,490.04

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