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Finding the Third Proportional to 508,722 and 1,059,309

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Solution

The third proportional to 508,722 and 1,059,309 is: 2,205,793.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,722 : 1,059,309 = 1,059,309 : x
  2. Step 2: Convert to fraction form
    508,722/1,059,309 = 1,059,309/x
  3. Step 3: Cross multiply
    508,722x = 1,059,309 × 1,059,309
  4. Step 4: Simplify right side
    508,722x = 1,122,135,557,481
  5. Step 5: Solve for x
    x = 1,122,135,557,481/508,722
  6. Step 6: Final answer
    x = 2,205,793.26

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.