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Finding the Third Proportional to 739,118 and 1,029,777

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Solution

The third proportional to 739,118 and 1,029,777 is: 1,434,737.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    739,118 : 1,029,777 = 1,029,777 : x
  2. Step 2: Convert to fraction form
    739,118/1,029,777 = 1,029,777/x
  3. Step 3: Cross multiply
    739,118x = 1,029,777 × 1,029,777
  4. Step 4: Simplify right side
    739,118x = 1,060,440,669,729
  5. Step 5: Solve for x
    x = 1,060,440,669,729/739,118
  6. Step 6: Final answer
    x = 1,434,737.98

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.