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Finding the Third Proportional to 427,600 and 922,997

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Solution

The third proportional to 427,600 and 922,997 is: 1,992,337.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,600 : 922,997 = 922,997 : x
  2. Step 2: Convert to fraction form
    427,600/922,997 = 922,997/x
  3. Step 3: Cross multiply
    427,600x = 922,997 × 922,997
  4. Step 4: Simplify right side
    427,600x = 851,923,462,009
  5. Step 5: Solve for x
    x = 851,923,462,009/427,600
  6. Step 6: Final answer
    x = 1,992,337.38

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.