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Finding the Third Proportional to 625,819.45 and 1,284,815.51

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Solution

The third proportional to 625,819.45 and 1,284,815.51 is: 2,637,743.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,819.45 : 1,284,815.51 = 1,284,815.51 : x
  2. Step 2: Convert to fraction form
    625,819.45/1,284,815.51 = 1,284,815.51/x
  3. Step 3: Cross multiply
    625,819.45x = 1,284,815.51 × 1,284,815.51
  4. Step 4: Simplify right side
    625,819.45x = 1,650,750,904,171.99
  5. Step 5: Solve for x
    x = 1,650,750,904,171.99/625,819.45
  6. Step 6: Final answer
    x = 2,637,743.06

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.