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Finding the Third Proportional to 637,876 and 1,304,912

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Solution

The third proportional to 637,876 and 1,304,912 is: 2,669,477.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    637,876 : 1,304,912 = 1,304,912 : x
  2. Step 2: Convert to fraction form
    637,876/1,304,912 = 1,304,912/x
  3. Step 3: Cross multiply
    637,876x = 1,304,912 × 1,304,912
  4. Step 4: Simplify right side
    637,876x = 1,702,795,327,744
  5. Step 5: Solve for x
    x = 1,702,795,327,744/637,876
  6. Step 6: Final answer
    x = 2,669,477.03

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.