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Finding the Third Proportional to 437,400 and 957,096

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Solution

The third proportional to 437,400 and 957,096 is: 2,094,267.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,400 : 957,096 = 957,096 : x
  2. Step 2: Convert to fraction form
    437,400/957,096 = 957,096/x
  3. Step 3: Cross multiply
    437,400x = 957,096 × 957,096
  4. Step 4: Simplify right side
    437,400x = 916,032,753,216
  5. Step 5: Solve for x
    x = 916,032,753,216/437,400
  6. Step 6: Final answer
    x = 2,094,267.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.