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Finding the Third Proportional to 2,005,259 and 4,330,170

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Solution

The third proportional to 2,005,259 and 4,330,170 is: 9,350,598.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005,259 : 4,330,170 = 4,330,170 : x
  2. Step 2: Convert to fraction form
    2,005,259/4,330,170 = 4,330,170/x
  3. Step 3: Cross multiply
    2,005,259x = 4,330,170 × 4,330,170
  4. Step 4: Simplify right side
    2,005,259x = 18,750,372,228,900
  5. Step 5: Solve for x
    x = 18,750,372,228,900/2,005,259
  6. Step 6: Final answer
    x = 9,350,598.72

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.