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Finding the Third Proportional to 437,438 and 957,172

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Solution

The third proportional to 437,438 and 957,172 is: 2,094,418.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,438 : 957,172 = 957,172 : x
  2. Step 2: Convert to fraction form
    437,438/957,172 = 957,172/x
  3. Step 3: Cross multiply
    437,438x = 957,172 × 957,172
  4. Step 4: Simplify right side
    437,438x = 916,178,237,584
  5. Step 5: Solve for x
    x = 916,178,237,584/437,438
  6. Step 6: Final answer
    x = 2,094,418.49

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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.