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Finding the Third Proportional to 435,120 and 949,944

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Solution

The third proportional to 435,120 and 949,944 is: 2,073,895.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,120 : 949,944 = 949,944 : x
  2. Step 2: Convert to fraction form
    435,120/949,944 = 949,944/x
  3. Step 3: Cross multiply
    435,120x = 949,944 × 949,944
  4. Step 4: Simplify right side
    435,120x = 902,393,603,136
  5. Step 5: Solve for x
    x = 902,393,603,136/435,120
  6. Step 6: Final answer
    x = 2,073,895.94

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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.