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Finding the Third Proportional to 1,149,664 and 2,373,128

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Solution

The third proportional to 1,149,664 and 2,373,128 is: 4,898,593.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149,664 : 2,373,128 = 2,373,128 : x
  2. Step 2: Convert to fraction form
    1,149,664/2,373,128 = 2,373,128/x
  3. Step 3: Cross multiply
    1,149,664x = 2,373,128 × 2,373,128
  4. Step 4: Simplify right side
    1,149,664x = 5,631,736,504,384
  5. Step 5: Solve for x
    x = 5,631,736,504,384/1,149,664
  6. Step 6: Final answer
    x = 4,898,593.42

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.