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Finding the Third Proportional to 804,565.41 and 1,215,049.36

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Solution

The third proportional to 804,565.41 and 1,215,049.36 is: 1,834,959.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    804,565.41 : 1,215,049.36 = 1,215,049.36 : x
  2. Step 2: Convert to fraction form
    804,565.41/1,215,049.36 = 1,215,049.36/x
  3. Step 3: Cross multiply
    804,565.41x = 1,215,049.36 × 1,215,049.36
  4. Step 4: Simplify right side
    804,565.41x = 1,476,344,945,717.60
  5. Step 5: Solve for x
    x = 1,476,344,945,717.60/804,565.41
  6. Step 6: Final answer
    x = 1,834,959.51

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Why These Related Problems?

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