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Finding the Third Proportional to 534,672,194 and 850,768,548

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Solution

The third proportional to 534,672,194 and 850,768,548 is: 1,353,739,974.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,672,194 : 850,768,548 = 850,768,548 : x
  2. Step 2: Convert to fraction form
    534,672,194/850,768,548 = 850,768,548/x
  3. Step 3: Cross multiply
    534,672,194x = 850,768,548 × 850,768,548
  4. Step 4: Simplify right side
    534,672,194x = 723,807,122,266,028,288
  5. Step 5: Solve for x
    x = 723,807,122,266,028,288/534,672,194
  6. Step 6: Final answer
    x = 1,353,739,974.49

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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.