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Finding the Third Proportional to 3,416,325 and 5,238,672

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Solution

The third proportional to 3,416,325 and 5,238,672 is: 8,033,101.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416,325 : 5,238,672 = 5,238,672 : x
  2. Step 2: Convert to fraction form
    3,416,325/5,238,672 = 5,238,672/x
  3. Step 3: Cross multiply
    3,416,325x = 5,238,672 × 5,238,672
  4. Step 4: Simplify right side
    3,416,325x = 27,443,684,323,584
  5. Step 5: Solve for x
    x = 27,443,684,323,584/3,416,325
  6. Step 6: Final answer
    x = 8,033,101.16

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.