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Finding the Third Proportional to 507,702 and 1,102,936

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Solution

The third proportional to 507,702 and 1,102,936 is: 2,396,027.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,702 : 1,102,936 = 1,102,936 : x
  2. Step 2: Convert to fraction form
    507,702/1,102,936 = 1,102,936/x
  3. Step 3: Cross multiply
    507,702x = 1,102,936 × 1,102,936
  4. Step 4: Simplify right side
    507,702x = 1,216,467,820,096
  5. Step 5: Solve for x
    x = 1,216,467,820,096/507,702
  6. Step 6: Final answer
    x = 2,396,027.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.