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Finding the Third Proportional to 675,096.94 and 1,593,630.38

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Solution

The third proportional to 675,096.94 and 1,593,630.38 is: 3,761,915.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,096.94 : 1,593,630.38 = 1,593,630.38 : x
  2. Step 2: Convert to fraction form
    675,096.94/1,593,630.38 = 1,593,630.38/x
  3. Step 3: Cross multiply
    675,096.94x = 1,593,630.38 × 1,593,630.38
  4. Step 4: Simplify right side
    675,096.94x = 2,539,657,772,122.64
  5. Step 5: Solve for x
    x = 2,539,657,772,122.64/675,096.94
  6. Step 6: Final answer
    x = 3,761,915.71

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.