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Finding the Third Proportional to 502,546.78 and 1,083,825.56

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Solution

The third proportional to 502,546.78 and 1,083,825.56 is: 2,337,449.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,546.78 : 1,083,825.56 = 1,083,825.56 : x
  2. Step 2: Convert to fraction form
    502,546.78/1,083,825.56 = 1,083,825.56/x
  3. Step 3: Cross multiply
    502,546.78x = 1,083,825.56 × 1,083,825.56
  4. Step 4: Simplify right side
    502,546.78x = 1,174,677,849,928.44
  5. Step 5: Solve for x
    x = 1,174,677,849,928.44/502,546.78
  6. Step 6: Final answer
    x = 2,337,449.75

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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.