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Finding the Third Proportional to 633,791 and 1,320,002

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Solution

The third proportional to 633,791 and 1,320,002 is: 2,749,179.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,791 : 1,320,002 = 1,320,002 : x
  2. Step 2: Convert to fraction form
    633,791/1,320,002 = 1,320,002/x
  3. Step 3: Cross multiply
    633,791x = 1,320,002 × 1,320,002
  4. Step 4: Simplify right side
    633,791x = 1,742,405,280,004
  5. Step 5: Solve for x
    x = 1,742,405,280,004/633,791
  6. Step 6: Final answer
    x = 2,749,179.59

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.