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Finding the Third Proportional to 427,343 and 911,883

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Solution

The third proportional to 427,343 and 911,883 is: 1,945,815.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,343 : 911,883 = 911,883 : x
  2. Step 2: Convert to fraction form
    427,343/911,883 = 911,883/x
  3. Step 3: Cross multiply
    427,343x = 911,883 × 911,883
  4. Step 4: Simplify right side
    427,343x = 831,530,605,689
  5. Step 5: Solve for x
    x = 831,530,605,689/427,343
  6. Step 6: Final answer
    x = 1,945,815.44

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.