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Finding the Third Proportional to 949,849 and 2,051,249

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Solution

The third proportional to 949,849 and 2,051,249 is: 4,429,780.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    949,849 : 2,051,249 = 2,051,249 : x
  2. Step 2: Convert to fraction form
    949,849/2,051,249 = 2,051,249/x
  3. Step 3: Cross multiply
    949,849x = 2,051,249 × 2,051,249
  4. Step 4: Simplify right side
    949,849x = 4,207,622,460,001
  5. Step 5: Solve for x
    x = 4,207,622,460,001/949,849
  6. Step 6: Final answer
    x = 4,429,780.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.