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Finding the Third Proportional to 426,474 and 911,997

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Solution

The third proportional to 426,474 and 911,997 is: 1,950,267.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,474 : 911,997 = 911,997 : x
  2. Step 2: Convert to fraction form
    426,474/911,997 = 911,997/x
  3. Step 3: Cross multiply
    426,474x = 911,997 × 911,997
  4. Step 4: Simplify right side
    426,474x = 831,738,528,009
  5. Step 5: Solve for x
    x = 831,738,528,009/426,474
  6. Step 6: Final answer
    x = 1,950,267.84

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.