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Finding the Third Proportional to 449,119,593 and 982,903,059

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Solution

The third proportional to 449,119,593 and 982,903,059 is: 2,151,093,914.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,119,593 : 982,903,059 = 982,903,059 : x
  2. Step 2: Convert to fraction form
    449,119,593/982,903,059 = 982,903,059/x
  3. Step 3: Cross multiply
    449,119,593x = 982,903,059 × 982,903,059
  4. Step 4: Simplify right side
    449,119,593x = 966,098,423,391,557,504
  5. Step 5: Solve for x
    x = 966,098,423,391,557,504/449,119,593
  6. Step 6: Final answer
    x = 2,151,093,914.51

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.