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Finding the Third Proportional to 777,004 and 1,200,012

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Solution

The third proportional to 777,004 and 1,200,012 is: 1,853,309.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    777,004 : 1,200,012 = 1,200,012 : x
  2. Step 2: Convert to fraction form
    777,004/1,200,012 = 1,200,012/x
  3. Step 3: Cross multiply
    777,004x = 1,200,012 × 1,200,012
  4. Step 4: Simplify right side
    777,004x = 1,440,028,800,144
  5. Step 5: Solve for x
    x = 1,440,028,800,144/777,004
  6. Step 6: Final answer
    x = 1,853,309.38

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.