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Finding the Third Proportional to 703,900 and 1,540,832

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Solution

The third proportional to 703,900 and 1,540,832 is: 3,372,870.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    703,900 : 1,540,832 = 1,540,832 : x
  2. Step 2: Convert to fraction form
    703,900/1,540,832 = 1,540,832/x
  3. Step 3: Cross multiply
    703,900x = 1,540,832 × 1,540,832
  4. Step 4: Simplify right side
    703,900x = 2,374,163,252,224
  5. Step 5: Solve for x
    x = 2,374,163,252,224/703,900
  6. Step 6: Final answer
    x = 3,372,870.08

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Why These Related Problems?

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