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Finding the Third Proportional to 738,936 and 1,593,180

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Solution

The third proportional to 738,936 and 1,593,180 is: 3,434,969.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,936 : 1,593,180 = 1,593,180 : x
  2. Step 2: Convert to fraction form
    738,936/1,593,180 = 1,593,180/x
  3. Step 3: Cross multiply
    738,936x = 1,593,180 × 1,593,180
  4. Step 4: Simplify right side
    738,936x = 2,538,222,512,400
  5. Step 5: Solve for x
    x = 2,538,222,512,400/738,936
  6. Step 6: Final answer
    x = 3,434,969.35

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.