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Finding the Third Proportional to 773,440,662 and 1,226,724,903

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Solution

The third proportional to 773,440,662 and 1,226,724,903 is: 1,945,661,847.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    773,440,662 : 1,226,724,903 = 1,226,724,903 : x
  2. Step 2: Convert to fraction form
    773,440,662/1,226,724,903 = 1,226,724,903/x
  3. Step 3: Cross multiply
    773,440,662x = 1,226,724,903 × 1,226,724,903
  4. Step 4: Simplify right side
    773,440,662x = 1,504,853,987,640,359,424
  5. Step 5: Solve for x
    x = 1,504,853,987,640,359,424/773,440,662
  6. Step 6: Final answer
    x = 1,945,661,847.86

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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.