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Finding the Third Proportional to 433,954,816 and 654,967,849

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Solution

The third proportional to 433,954,816 and 654,967,849 is: 988,542,740.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,954,816 : 654,967,849 = 654,967,849 : x
  2. Step 2: Convert to fraction form
    433,954,816/654,967,849 = 654,967,849/x
  3. Step 3: Cross multiply
    433,954,816x = 654,967,849 × 654,967,849
  4. Step 4: Simplify right side
    433,954,816x = 428,982,883,223,686,784
  5. Step 5: Solve for x
    x = 428,982,883,223,686,784/433,954,816
  6. Step 6: Final answer
    x = 988,542,740.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.