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Finding the Third Proportional to 892,116 and 1,271,744

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Solution

The third proportional to 892,116 and 1,271,744 is: 1,812,917.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    892,116 : 1,271,744 = 1,271,744 : x
  2. Step 2: Convert to fraction form
    892,116/1,271,744 = 1,271,744/x
  3. Step 3: Cross multiply
    892,116x = 1,271,744 × 1,271,744
  4. Step 4: Simplify right side
    892,116x = 1,617,332,801,536
  5. Step 5: Solve for x
    x = 1,617,332,801,536/892,116
  6. Step 6: Final answer
    x = 1,812,917.60

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.