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Finding the Third Proportional to 458,778 and 949,812

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Solution

The third proportional to 458,778 and 949,812 is: 1,966,403.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,778 : 949,812 = 949,812 : x
  2. Step 2: Convert to fraction form
    458,778/949,812 = 949,812/x
  3. Step 3: Cross multiply
    458,778x = 949,812 × 949,812
  4. Step 4: Simplify right side
    458,778x = 902,142,835,344
  5. Step 5: Solve for x
    x = 902,142,835,344/458,778
  6. Step 6: Final answer
    x = 1,966,403.87

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.