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Finding the Third Proportional to 4,225,306 and 6,244,775

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Solution

The third proportional to 4,225,306 and 6,244,775 is: 9,229,441.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,225,306 : 6,244,775 = 6,244,775 : x
  2. Step 2: Convert to fraction form
    4,225,306/6,244,775 = 6,244,775/x
  3. Step 3: Cross multiply
    4,225,306x = 6,244,775 × 6,244,775
  4. Step 4: Simplify right side
    4,225,306x = 38,997,214,800,625
  5. Step 5: Solve for x
    x = 38,997,214,800,625/4,225,306
  6. Step 6: Final answer
    x = 9,229,441.56

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.