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Finding the Third Proportional to 449,022 and 975,551

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Solution

The third proportional to 449,022 and 975,551 is: 2,119,494.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,022 : 975,551 = 975,551 : x
  2. Step 2: Convert to fraction form
    449,022/975,551 = 975,551/x
  3. Step 3: Cross multiply
    449,022x = 975,551 × 975,551
  4. Step 4: Simplify right side
    449,022x = 951,699,753,601
  5. Step 5: Solve for x
    x = 951,699,753,601/449,022
  6. Step 6: Final answer
    x = 2,119,494.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.