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Finding the Third Proportional to 3,256,226 and 4,786,775

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Solution

The third proportional to 3,256,226 and 4,786,775 is: 7,036,739.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,256,226 : 4,786,775 = 4,786,775 : x
  2. Step 2: Convert to fraction form
    3,256,226/4,786,775 = 4,786,775/x
  3. Step 3: Cross multiply
    3,256,226x = 4,786,775 × 4,786,775
  4. Step 4: Simplify right side
    3,256,226x = 22,913,214,900,625
  5. Step 5: Solve for x
    x = 22,913,214,900,625/3,256,226
  6. Step 6: Final answer
    x = 7,036,739.74

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.