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Finding the Third Proportional to 2,228,009 and 3,248,125

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Solution

The third proportional to 2,228,009 and 3,248,125 is: 4,735,311.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,228,009 : 3,248,125 = 3,248,125 : x
  2. Step 2: Convert to fraction form
    2,228,009/3,248,125 = 3,248,125/x
  3. Step 3: Cross multiply
    2,228,009x = 3,248,125 × 3,248,125
  4. Step 4: Simplify right side
    2,228,009x = 10,550,316,015,625
  5. Step 5: Solve for x
    x = 10,550,316,015,625/2,228,009
  6. Step 6: Final answer
    x = 4,735,311.22

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.