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Finding the Third Proportional to 1,370,340 and 2,950,200

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Solution

The third proportional to 1,370,340 and 2,950,200 is: 6,351,474.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,370,340 : 2,950,200 = 2,950,200 : x
  2. Step 2: Convert to fraction form
    1,370,340/2,950,200 = 2,950,200/x
  3. Step 3: Cross multiply
    1,370,340x = 2,950,200 × 2,950,200
  4. Step 4: Simplify right side
    1,370,340x = 8,703,680,040,000
  5. Step 5: Solve for x
    x = 8,703,680,040,000/1,370,340
  6. Step 6: Final answer
    x = 6,351,474.85

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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.