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Finding the Third Proportional to 766,796 and 1,612,917

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Solution

The third proportional to 766,796 and 1,612,917 is: 3,392,690.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,796 : 1,612,917 = 1,612,917 : x
  2. Step 2: Convert to fraction form
    766,796/1,612,917 = 1,612,917/x
  3. Step 3: Cross multiply
    766,796x = 1,612,917 × 1,612,917
  4. Step 4: Simplify right side
    766,796x = 2,601,501,248,889
  5. Step 5: Solve for x
    x = 2,601,501,248,889/766,796
  6. Step 6: Final answer
    x = 3,392,690.17

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.