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Finding the Third Proportional to 3,023,271 and 4,582,878.75

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Solution

The third proportional to 3,023,271 and 4,582,878.75 is: 6,947,037.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,023,271 : 4,582,878.75 = 4,582,878.75 : x
  2. Step 2: Convert to fraction form
    3,023,271/4,582,878.75 = 4,582,878.75/x
  3. Step 3: Cross multiply
    3,023,271x = 4,582,878.75 × 4,582,878.75
  4. Step 4: Simplify right side
    3,023,271x = 21,002,777,637,201.56
  5. Step 5: Solve for x
    x = 21,002,777,637,201.56/3,023,271
  6. Step 6: Final answer
    x = 6,947,037.71

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.