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Finding the Third Proportional to 1,203,960 and 1,605,006

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Solution

The third proportional to 1,203,960 and 1,605,006 is: 2,139,642.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203,960 : 1,605,006 = 1,605,006 : x
  2. Step 2: Convert to fraction form
    1,203,960/1,605,006 = 1,605,006/x
  3. Step 3: Cross multiply
    1,203,960x = 1,605,006 × 1,605,006
  4. Step 4: Simplify right side
    1,203,960x = 2,576,044,260,036
  5. Step 5: Solve for x
    x = 2,576,044,260,036/1,203,960
  6. Step 6: Final answer
    x = 2,139,642.73

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.