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Finding the Third Proportional to 444,971 and 954,742

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Solution

The third proportional to 444,971 and 954,742 is: 2,048,520.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,971 : 954,742 = 954,742 : x
  2. Step 2: Convert to fraction form
    444,971/954,742 = 954,742/x
  3. Step 3: Cross multiply
    444,971x = 954,742 × 954,742
  4. Step 4: Simplify right side
    444,971x = 911,532,286,564
  5. Step 5: Solve for x
    x = 911,532,286,564/444,971
  6. Step 6: Final answer
    x = 2,048,520.66

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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.