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Finding the Third Proportional to 853,908 and 1,839,765

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Solution

The third proportional to 853,908 and 1,839,765 is: 3,963,817.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,908 : 1,839,765 = 1,839,765 : x
  2. Step 2: Convert to fraction form
    853,908/1,839,765 = 1,839,765/x
  3. Step 3: Cross multiply
    853,908x = 1,839,765 × 1,839,765
  4. Step 4: Simplify right side
    853,908x = 3,384,735,255,225
  5. Step 5: Solve for x
    x = 3,384,735,255,225/853,908
  6. Step 6: Final answer
    x = 3,963,817.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.