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Finding the Third Proportional to 773,876 and 1,685,904

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Solution

The third proportional to 773,876 and 1,685,904 is: 3,672,774.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    773,876 : 1,685,904 = 1,685,904 : x
  2. Step 2: Convert to fraction form
    773,876/1,685,904 = 1,685,904/x
  3. Step 3: Cross multiply
    773,876x = 1,685,904 × 1,685,904
  4. Step 4: Simplify right side
    773,876x = 2,842,272,297,216
  5. Step 5: Solve for x
    x = 2,842,272,297,216/773,876
  6. Step 6: Final answer
    x = 3,672,774.83

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.