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Finding the Third Proportional to 534,672,189 and 850,768,542

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Solution

The third proportional to 534,672,189 and 850,768,542 is: 1,353,739,968.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,672,189 : 850,768,542 = 850,768,542 : x
  2. Step 2: Convert to fraction form
    534,672,189/850,768,542 = 850,768,542/x
  3. Step 3: Cross multiply
    534,672,189x = 850,768,542 × 850,768,542
  4. Step 4: Simplify right side
    534,672,189x = 723,807,112,056,805,760
  5. Step 5: Solve for x
    x = 723,807,112,056,805,760/534,672,189
  6. Step 6: Final answer
    x = 1,353,739,968.06

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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.