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Finding the Third Proportional to 534,672,478 and 850,769,041

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Solution

The third proportional to 534,672,478 and 850,769,041 is: 1,353,740,824.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,672,478 : 850,769,041 = 850,769,041 : x
  2. Step 2: Convert to fraction form
    534,672,478/850,769,041 = 850,769,041/x
  3. Step 3: Cross multiply
    534,672,478x = 850,769,041 × 850,769,041
  4. Step 4: Simplify right side
    534,672,478x = 723,807,961,124,059,648
  5. Step 5: Solve for x
    x = 723,807,961,124,059,648/534,672,478
  6. Step 6: Final answer
    x = 1,353,740,824.35

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.