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Finding the Third Proportional to 948,819.47 and 2,066,105.91

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Solution

The third proportional to 948,819.47 and 2,066,105.91 is: 4,499,057.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    948,819.47 : 2,066,105.91 = 2,066,105.91 : x
  2. Step 2: Convert to fraction form
    948,819.47/2,066,105.91 = 2,066,105.91/x
  3. Step 3: Cross multiply
    948,819.47x = 2,066,105.91 × 2,066,105.91
  4. Step 4: Simplify right side
    948,819.47x = 4,268,793,615,841.13
  5. Step 5: Solve for x
    x = 4,268,793,615,841.13/948,819.47
  6. Step 6: Final answer
    x = 4,499,057.78

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.