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Finding the Third Proportional to 821,324,372 and 1,252,673,400

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Solution

The third proportional to 821,324,372 and 1,252,673,400 is: 1,910,561,406.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,324,372 : 1,252,673,400 = 1,252,673,400 : x
  2. Step 2: Convert to fraction form
    821,324,372/1,252,673,400 = 1,252,673,400/x
  3. Step 3: Cross multiply
    821,324,372x = 1,252,673,400 × 1,252,673,400
  4. Step 4: Simplify right side
    821,324,372x = 1,569,190,647,067,559,936
  5. Step 5: Solve for x
    x = 1,569,190,647,067,559,936/821,324,372
  6. Step 6: Final answer
    x = 1,910,561,406.14

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.