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Finding the Third Proportional to 2,396,590 and 3,370,960

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Solution

The third proportional to 2,396,590 and 3,370,960 is: 4,741,474.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,396,590 : 3,370,960 = 3,370,960 : x
  2. Step 2: Convert to fraction form
    2,396,590/3,370,960 = 3,370,960/x
  3. Step 3: Cross multiply
    2,396,590x = 3,370,960 × 3,370,960
  4. Step 4: Simplify right side
    2,396,590x = 11,363,371,321,600
  5. Step 5: Solve for x
    x = 11,363,371,321,600/2,396,590
  6. Step 6: Final answer
    x = 4,741,474.90

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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.