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Finding the Third Proportional to 3,478,440 and 5,416,431

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Solution

The third proportional to 3,478,440 and 5,416,431 is: 8,434,161.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478,440 : 5,416,431 = 5,416,431 : x
  2. Step 2: Convert to fraction form
    3,478,440/5,416,431 = 5,416,431/x
  3. Step 3: Cross multiply
    3,478,440x = 5,416,431 × 5,416,431
  4. Step 4: Simplify right side
    3,478,440x = 29,337,724,777,761
  5. Step 5: Solve for x
    x = 29,337,724,777,761/3,478,440
  6. Step 6: Final answer
    x = 8,434,161.51

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.