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Finding the Third Proportional to 852,592.50 and 1,823,350.50

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Solution

The third proportional to 852,592.50 and 1,823,350.50 is: 3,899,409.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    852,592.50 : 1,823,350.50 = 1,823,350.50 : x
  2. Step 2: Convert to fraction form
    852,592.50/1,823,350.50 = 1,823,350.50/x
  3. Step 3: Cross multiply
    852,592.50x = 1,823,350.50 × 1,823,350.50
  4. Step 4: Simplify right side
    852,592.50x = 3,324,607,045,850.25
  5. Step 5: Solve for x
    x = 3,324,607,045,850.25/852,592.50
  6. Step 6: Final answer
    x = 3,899,409.21

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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.