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Finding the Third Proportional to 703,794 and 1,534,614

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Solution

The third proportional to 703,794 and 1,534,614 is: 3,346,206.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,794 : 1,534,614 = 1,534,614 : x
  2. Step 2: Convert to fraction form
    703,794/1,534,614 = 1,534,614/x
  3. Step 3: Cross multiply
    703,794x = 1,534,614 × 1,534,614
  4. Step 4: Simplify right side
    703,794x = 2,355,040,128,996
  5. Step 5: Solve for x
    x = 2,355,040,128,996/703,794
  6. Step 6: Final answer
    x = 3,346,206.60

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Why These Related Problems?

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