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Finding the Third Proportional to 809,849 and 1,874,852

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Solution

The third proportional to 809,849 and 1,874,852 is: 4,340,401.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,849 : 1,874,852 = 1,874,852 : x
  2. Step 2: Convert to fraction form
    809,849/1,874,852 = 1,874,852/x
  3. Step 3: Cross multiply
    809,849x = 1,874,852 × 1,874,852
  4. Step 4: Simplify right side
    809,849x = 3,515,070,021,904
  5. Step 5: Solve for x
    x = 3,515,070,021,904/809,849
  6. Step 6: Final answer
    x = 4,340,401.76

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.