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Finding the Third Proportional to 2,310,630 and 3,380,378

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Solution

The third proportional to 2,310,630 and 3,380,378 is: 4,945,385.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,310,630 : 3,380,378 = 3,380,378 : x
  2. Step 2: Convert to fraction form
    2,310,630/3,380,378 = 3,380,378/x
  3. Step 3: Cross multiply
    2,310,630x = 3,380,378 × 3,380,378
  4. Step 4: Simplify right side
    2,310,630x = 11,426,955,422,884
  5. Step 5: Solve for x
    x = 11,426,955,422,884/2,310,630
  6. Step 6: Final answer
    x = 4,945,385.21

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.