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Finding the Third Proportional to 1,203,120 and 1,834,983

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Solution

The third proportional to 1,203,120 and 1,834,983 is: 2,798,692.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203,120 : 1,834,983 = 1,834,983 : x
  2. Step 2: Convert to fraction form
    1,203,120/1,834,983 = 1,834,983/x
  3. Step 3: Cross multiply
    1,203,120x = 1,834,983 × 1,834,983
  4. Step 4: Simplify right side
    1,203,120x = 3,367,162,610,289
  5. Step 5: Solve for x
    x = 3,367,162,610,289/1,203,120
  6. Step 6: Final answer
    x = 2,798,692.24

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.