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Finding the Third Proportional to 769,017,144 and 1,191,523,626

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Solution

The third proportional to 769,017,144 and 1,191,523,626 is: 1,846,159,818.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,017,144 : 1,191,523,626 = 1,191,523,626 : x
  2. Step 2: Convert to fraction form
    769,017,144/1,191,523,626 = 1,191,523,626/x
  3. Step 3: Cross multiply
    769,017,144x = 1,191,523,626 × 1,191,523,626
  4. Step 4: Simplify right side
    769,017,144x = 1,419,728,551,316,187,904
  5. Step 5: Solve for x
    x = 1,419,728,551,316,187,904/769,017,144
  6. Step 6: Final answer
    x = 1,846,159,818.92

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.