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Finding the Third Proportional to 583,125.75 and 1,212,804.56

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Solution

The third proportional to 583,125.75 and 1,212,804.56 is: 2,522,431.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,125.75 : 1,212,804.56 = 1,212,804.56 : x
  2. Step 2: Convert to fraction form
    583,125.75/1,212,804.56 = 1,212,804.56/x
  3. Step 3: Cross multiply
    583,125.75x = 1,212,804.56 × 1,212,804.56
  4. Step 4: Simplify right side
    583,125.75x = 1,470,894,906,820.82
  5. Step 5: Solve for x
    x = 1,470,894,906,820.82/583,125.75
  6. Step 6: Final answer
    x = 2,522,431.75

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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.