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Finding the Third Proportional to 1,391,003 and 2,965,723

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Solution

The third proportional to 1,391,003 and 2,965,723 is: 6,323,144.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,391,003 : 2,965,723 = 2,965,723 : x
  2. Step 2: Convert to fraction form
    1,391,003/2,965,723 = 2,965,723/x
  3. Step 3: Cross multiply
    1,391,003x = 2,965,723 × 2,965,723
  4. Step 4: Simplify right side
    1,391,003x = 8,795,512,912,729
  5. Step 5: Solve for x
    x = 8,795,512,912,729/1,391,003
  6. Step 6: Final answer
    x = 6,323,144.46

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.