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Finding the Third Proportional to 703,438 and 1,431,738

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Solution

The third proportional to 703,438 and 1,431,738 is: 2,914,078.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,438 : 1,431,738 = 1,431,738 : x
  2. Step 2: Convert to fraction form
    703,438/1,431,738 = 1,431,738/x
  3. Step 3: Cross multiply
    703,438x = 1,431,738 × 1,431,738
  4. Step 4: Simplify right side
    703,438x = 2,049,873,700,644
  5. Step 5: Solve for x
    x = 2,049,873,700,644/703,438
  6. Step 6: Final answer
    x = 2,914,078.71

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.