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Finding the Third Proportional to 617,010 and 1,375,806

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Solution

The third proportional to 617,010 and 1,375,806 is: 3,067,765.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,010 : 1,375,806 = 1,375,806 : x
  2. Step 2: Convert to fraction form
    617,010/1,375,806 = 1,375,806/x
  3. Step 3: Cross multiply
    617,010x = 1,375,806 × 1,375,806
  4. Step 4: Simplify right side
    617,010x = 1,892,842,149,636
  5. Step 5: Solve for x
    x = 1,892,842,149,636/617,010
  6. Step 6: Final answer
    x = 3,067,765.76

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.