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Finding the Third Proportional to 561,808.13 and 1,238,137.13

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Solution

The third proportional to 561,808.13 and 1,238,137.13 is: 2,728,660.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,808.13 : 1,238,137.13 = 1,238,137.13 : x
  2. Step 2: Convert to fraction form
    561,808.13/1,238,137.13 = 1,238,137.13/x
  3. Step 3: Cross multiply
    561,808.13x = 1,238,137.13 × 1,238,137.13
  4. Step 4: Simplify right side
    561,808.13x = 1,532,983,540,303.27
  5. Step 5: Solve for x
    x = 1,532,983,540,303.27/561,808.13
  6. Step 6: Final answer
    x = 2,728,660.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.