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Finding the Third Proportional to 450,036 and 950,634

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Solution

The third proportional to 450,036 and 950,634 is: 2,008,072.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,036 : 950,634 = 950,634 : x
  2. Step 2: Convert to fraction form
    450,036/950,634 = 950,634/x
  3. Step 3: Cross multiply
    450,036x = 950,634 × 950,634
  4. Step 4: Simplify right side
    450,036x = 903,705,001,956
  5. Step 5: Solve for x
    x = 903,705,001,956/450,036
  6. Step 6: Final answer
    x = 2,008,072.69

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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.