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Finding the Third Proportional to 766,862.44 and 1,613,026.41

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Solution

The third proportional to 766,862.44 and 1,613,026.41 is: 3,392,856.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,862.44 : 1,613,026.41 = 1,613,026.41 : x
  2. Step 2: Convert to fraction form
    766,862.44/1,613,026.41 = 1,613,026.41/x
  3. Step 3: Cross multiply
    766,862.44x = 1,613,026.41 × 1,613,026.41
  4. Step 4: Simplify right side
    766,862.44x = 2,601,854,187,259.79
  5. Step 5: Solve for x
    x = 2,601,854,187,259.79/766,862.44
  6. Step 6: Final answer
    x = 3,392,856.48

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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.