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Finding the Third Proportional to 502,579.69 and 1,083,886.31

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Solution

The third proportional to 502,579.69 and 1,083,886.31 is: 2,337,558.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,579.69 : 1,083,886.31 = 1,083,886.31 : x
  2. Step 2: Convert to fraction form
    502,579.69/1,083,886.31 = 1,083,886.31/x
  3. Step 3: Cross multiply
    502,579.69x = 1,083,886.31 × 1,083,886.31
  4. Step 4: Simplify right side
    502,579.69x = 1,174,809,538,424.85
  5. Step 5: Solve for x
    x = 1,174,809,538,424.85/502,579.69
  6. Step 6: Final answer
    x = 2,337,558.73

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