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Finding the Third Proportional to 2,652,900 and 5,729,388

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Solution

The third proportional to 2,652,900 and 5,729,388 is: 12,373,586.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652,900 : 5,729,388 = 5,729,388 : x
  2. Step 2: Convert to fraction form
    2,652,900/5,729,388 = 5,729,388/x
  3. Step 3: Cross multiply
    2,652,900x = 5,729,388 × 5,729,388
  4. Step 4: Simplify right side
    2,652,900x = 32,825,886,854,544
  5. Step 5: Solve for x
    x = 32,825,886,854,544/2,652,900
  6. Step 6: Final answer
    x = 12,373,586.21

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