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Finding the Third Proportional to 701,346.94 and 1,512,146.81

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Solution

The third proportional to 701,346.94 and 1,512,146.81 is: 3,260,280.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    701,346.94 : 1,512,146.81 = 1,512,146.81 : x
  2. Step 2: Convert to fraction form
    701,346.94/1,512,146.81 = 1,512,146.81/x
  3. Step 3: Cross multiply
    701,346.94x = 1,512,146.81 × 1,512,146.81
  4. Step 4: Simplify right side
    701,346.94x = 2,286,587,982,553.91
  5. Step 5: Solve for x
    x = 2,286,587,982,553.91/701,346.94
  6. Step 6: Final answer
    x = 3,260,280.84

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.