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Finding the Third Proportional to 960,193 and 2,069,102

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Solution

The third proportional to 960,193 and 2,069,102 is: 4,458,669.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    960,193 : 2,069,102 = 2,069,102 : x
  2. Step 2: Convert to fraction form
    960,193/2,069,102 = 2,069,102/x
  3. Step 3: Cross multiply
    960,193x = 2,069,102 × 2,069,102
  4. Step 4: Simplify right side
    960,193x = 4,281,183,086,404
  5. Step 5: Solve for x
    x = 4,281,183,086,404/960,193
  6. Step 6: Final answer
    x = 4,458,669.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.