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Finding the Third Proportional to 828,067.13 and 1,246,246.69

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Solution

The third proportional to 828,067.13 and 1,246,246.69 is: 1,875,609.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,067.13 : 1,246,246.69 = 1,246,246.69 : x
  2. Step 2: Convert to fraction form
    828,067.13/1,246,246.69 = 1,246,246.69/x
  3. Step 3: Cross multiply
    828,067.13x = 1,246,246.69 × 1,246,246.69
  4. Step 4: Simplify right side
    828,067.13x = 1,553,130,806,104.72
  5. Step 5: Solve for x
    x = 1,553,130,806,104.72/828,067.13
  6. Step 6: Final answer
    x = 1,875,609.79

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.