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Finding the Third Proportional to 2,457,793 and 3,761,533

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Solution

The third proportional to 2,457,793 and 3,761,533 is: 5,756,843.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,457,793 : 3,761,533 = 3,761,533 : x
  2. Step 2: Convert to fraction form
    2,457,793/3,761,533 = 3,761,533/x
  3. Step 3: Cross multiply
    2,457,793x = 3,761,533 × 3,761,533
  4. Step 4: Simplify right side
    2,457,793x = 14,149,130,510,089
  5. Step 5: Solve for x
    x = 14,149,130,510,089/2,457,793
  6. Step 6: Final answer
    x = 5,756,843.85

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.