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Finding the Third Proportional to 664,607 and 1,451,018

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Solution

The third proportional to 664,607 and 1,451,018 is: 3,167,967.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,607 : 1,451,018 = 1,451,018 : x
  2. Step 2: Convert to fraction form
    664,607/1,451,018 = 1,451,018/x
  3. Step 3: Cross multiply
    664,607x = 1,451,018 × 1,451,018
  4. Step 4: Simplify right side
    664,607x = 2,105,453,236,324
  5. Step 5: Solve for x
    x = 2,105,453,236,324/664,607
  6. Step 6: Final answer
    x = 3,167,967.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.