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Finding the Third Proportional to 675,432 and 949,968

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Solution

The third proportional to 675,432 and 949,968 is: 1,336,091.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,432 : 949,968 = 949,968 : x
  2. Step 2: Convert to fraction form
    675,432/949,968 = 949,968/x
  3. Step 3: Cross multiply
    675,432x = 949,968 × 949,968
  4. Step 4: Simplify right side
    675,432x = 902,439,201,024
  5. Step 5: Solve for x
    x = 902,439,201,024/675,432
  6. Step 6: Final answer
    x = 1,336,091.87

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.