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Finding the Third Proportional to 450,803 and 951,907

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Solution

The third proportional to 450,803 and 951,907 is: 2,010,028.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,803 : 951,907 = 951,907 : x
  2. Step 2: Convert to fraction form
    450,803/951,907 = 951,907/x
  3. Step 3: Cross multiply
    450,803x = 951,907 × 951,907
  4. Step 4: Simplify right side
    450,803x = 906,126,936,649
  5. Step 5: Solve for x
    x = 906,126,936,649/450,803
  6. Step 6: Final answer
    x = 2,010,028.63

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.