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Finding the Third Proportional to 1,178,301.94 and 1,801,718.44

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Solution

The third proportional to 1,178,301.94 and 1,801,718.44 is: 2,754,972.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,178,301.94 : 1,801,718.44 = 1,801,718.44 : x
  2. Step 2: Convert to fraction form
    1,178,301.94/1,801,718.44 = 1,801,718.44/x
  3. Step 3: Cross multiply
    1,178,301.94x = 1,801,718.44 × 1,801,718.44
  4. Step 4: Simplify right side
    1,178,301.94x = 3,246,189,328,027.44
  5. Step 5: Solve for x
    x = 3,246,189,328,027.44/1,178,301.94
  6. Step 6: Final answer
    x = 2,754,972.41

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.