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Finding the Third Proportional to 2,396,580 and 3,370,941

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Solution

The third proportional to 2,396,580 and 3,370,941 is: 4,741,441.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,396,580 : 3,370,941 = 3,370,941 : x
  2. Step 2: Convert to fraction form
    2,396,580/3,370,941 = 3,370,941/x
  3. Step 3: Cross multiply
    2,396,580x = 3,370,941 × 3,370,941
  4. Step 4: Simplify right side
    2,396,580x = 11,363,243,225,481
  5. Step 5: Solve for x
    x = 11,363,243,225,481/2,396,580
  6. Step 6: Final answer
    x = 4,741,441.23

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.