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Finding the Third Proportional to 2,134,848 and 4,648,749

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Solution

The third proportional to 2,134,848 and 4,648,749 is: 10,122,906.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134,848 : 4,648,749 = 4,648,749 : x
  2. Step 2: Convert to fraction form
    2,134,848/4,648,749 = 4,648,749/x
  3. Step 3: Cross multiply
    2,134,848x = 4,648,749 × 4,648,749
  4. Step 4: Simplify right side
    2,134,848x = 21,610,867,265,001
  5. Step 5: Solve for x
    x = 21,610,867,265,001/2,134,848
  6. Step 6: Final answer
    x = 10,122,906.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.