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Finding the Third Proportional to 2,251,714 and 4,595,120

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Solution

The third proportional to 2,251,714 and 4,595,120 is: 9,377,357.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,251,714 : 4,595,120 = 4,595,120 : x
  2. Step 2: Convert to fraction form
    2,251,714/4,595,120 = 4,595,120/x
  3. Step 3: Cross multiply
    2,251,714x = 4,595,120 × 4,595,120
  4. Step 4: Simplify right side
    2,251,714x = 21,115,127,814,400
  5. Step 5: Solve for x
    x = 21,115,127,814,400/2,251,714
  6. Step 6: Final answer
    x = 9,377,357.79

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.