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Finding the Third Proportional to 703,832 and 1,534,680

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Solution

The third proportional to 703,832 and 1,534,680 is: 3,346,313.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,832 : 1,534,680 = 1,534,680 : x
  2. Step 2: Convert to fraction form
    703,832/1,534,680 = 1,534,680/x
  3. Step 3: Cross multiply
    703,832x = 1,534,680 × 1,534,680
  4. Step 4: Simplify right side
    703,832x = 2,355,242,702,400
  5. Step 5: Solve for x
    x = 2,355,242,702,400/703,832
  6. Step 6: Final answer
    x = 3,346,313.75

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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.