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Finding the Third Proportional to 467,078.27 and 1,021,397.34

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Solution

The third proportional to 467,078.27 and 1,021,397.34 is: 2,233,571.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,078.27 : 1,021,397.34 = 1,021,397.34 : x
  2. Step 2: Convert to fraction form
    467,078.27/1,021,397.34 = 1,021,397.34/x
  3. Step 3: Cross multiply
    467,078.27x = 1,021,397.34 × 1,021,397.34
  4. Step 4: Simplify right side
    467,078.27x = 1,043,252,533,819.56
  5. Step 5: Solve for x
    x = 1,043,252,533,819.56/467,078.27
  6. Step 6: Final answer
    x = 2,233,571.10

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