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Finding the Third Proportional to 664,707 and 1,449,714

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Solution

The third proportional to 664,707 and 1,449,714 is: 3,161,800.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,707 : 1,449,714 = 1,449,714 : x
  2. Step 2: Convert to fraction form
    664,707/1,449,714 = 1,449,714/x
  3. Step 3: Cross multiply
    664,707x = 1,449,714 × 1,449,714
  4. Step 4: Simplify right side
    664,707x = 2,101,670,681,796
  5. Step 5: Solve for x
    x = 2,101,670,681,796/664,707
  6. Step 6: Final answer
    x = 3,161,800.13

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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.