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Finding the Third Proportional to 810,029 and 1,246,796

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Solution

The third proportional to 810,029 and 1,246,796 is: 1,919,067.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,029 : 1,246,796 = 1,246,796 : x
  2. Step 2: Convert to fraction form
    810,029/1,246,796 = 1,246,796/x
  3. Step 3: Cross multiply
    810,029x = 1,246,796 × 1,246,796
  4. Step 4: Simplify right side
    810,029x = 1,554,500,265,616
  5. Step 5: Solve for x
    x = 1,554,500,265,616/810,029
  6. Step 6: Final answer
    x = 1,919,067.42

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.