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Finding the Third Proportional to 2,084,824.50 and 4,568,229

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Solution

The third proportional to 2,084,824.50 and 4,568,229 is: 10,009,819.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,084,824.50 : 4,568,229 = 4,568,229 : x
  2. Step 2: Convert to fraction form
    2,084,824.50/4,568,229 = 4,568,229/x
  3. Step 3: Cross multiply
    2,084,824.50x = 4,568,229 × 4,568,229
  4. Step 4: Simplify right side
    2,084,824.50x = 20,868,716,196,441
  5. Step 5: Solve for x
    x = 20,868,716,196,441/2,084,824.50
  6. Step 6: Final answer
    x = 10,009,819.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.