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Finding the Third Proportional to 502,576 and 1,093,796

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Solution

The third proportional to 502,576 and 1,093,796 is: 2,380,514.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    502,576 : 1,093,796 = 1,093,796 : x
  2. Step 2: Convert to fraction form
    502,576/1,093,796 = 1,093,796/x
  3. Step 3: Cross multiply
    502,576x = 1,093,796 × 1,093,796
  4. Step 4: Simplify right side
    502,576x = 1,196,389,689,616
  5. Step 5: Solve for x
    x = 1,196,389,689,616/502,576
  6. Step 6: Final answer
    x = 2,380,514.97

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.