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Finding the Third Proportional to 389,818 and 839,791

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Solution

The third proportional to 389,818 and 839,791 is: 1,809,174.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,818 : 839,791 = 839,791 : x
  2. Step 2: Convert to fraction form
    389,818/839,791 = 839,791/x
  3. Step 3: Cross multiply
    389,818x = 839,791 × 839,791
  4. Step 4: Simplify right side
    389,818x = 705,248,923,681
  5. Step 5: Solve for x
    x = 705,248,923,681/389,818
  6. Step 6: Final answer
    x = 1,809,174.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.