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Finding the Third Proportional to 502,404 and 1,083,519.75

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Solution

The third proportional to 502,404 and 1,083,519.75 is: 2,336,794.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,404 : 1,083,519.75 = 1,083,519.75 : x
  2. Step 2: Convert to fraction form
    502,404/1,083,519.75 = 1,083,519.75/x
  3. Step 3: Cross multiply
    502,404x = 1,083,519.75 × 1,083,519.75
  4. Step 4: Simplify right side
    502,404x = 1,174,015,048,640.06
  5. Step 5: Solve for x
    x = 1,174,015,048,640.06/502,404
  6. Step 6: Final answer
    x = 2,336,794.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.