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Finding the Third Proportional to 419,771,256 and 922,185,840

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Solution

The third proportional to 419,771,256 and 922,185,840 is: 2,025,928,910.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,771,256 : 922,185,840 = 922,185,840 : x
  2. Step 2: Convert to fraction form
    419,771,256/922,185,840 = 922,185,840/x
  3. Step 3: Cross multiply
    419,771,256x = 922,185,840 × 922,185,840
  4. Step 4: Simplify right side
    419,771,256x = 850,426,723,496,505,600
  5. Step 5: Solve for x
    x = 850,426,723,496,505,600/419,771,256
  6. Step 6: Final answer
    x = 2,025,928,910.90

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.