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Finding the Third Proportional to 435,140 and 949,984

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Solution

The third proportional to 435,140 and 949,984 is: 2,073,975.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,140 : 949,984 = 949,984 : x
  2. Step 2: Convert to fraction form
    435,140/949,984 = 949,984/x
  3. Step 3: Cross multiply
    435,140x = 949,984 × 949,984
  4. Step 4: Simplify right side
    435,140x = 902,469,600,256
  5. Step 5: Solve for x
    x = 902,469,600,256/435,140
  6. Step 6: Final answer
    x = 2,073,975.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.