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Finding the Third Proportional to 2,936,097 and 4,491,909

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Solution

The third proportional to 2,936,097 and 4,491,909 is: 6,872,132.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,936,097 : 4,491,909 = 4,491,909 : x
  2. Step 2: Convert to fraction form
    2,936,097/4,491,909 = 4,491,909/x
  3. Step 3: Cross multiply
    2,936,097x = 4,491,909 × 4,491,909
  4. Step 4: Simplify right side
    2,936,097x = 20,177,246,464,281
  5. Step 5: Solve for x
    x = 20,177,246,464,281/2,936,097
  6. Step 6: Final answer
    x = 6,872,132.11

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.