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Finding the Third Proportional to 673,443 and 1,464,714

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Solution

The third proportional to 673,443 and 1,464,714 is: 3,185,699.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,443 : 1,464,714 = 1,464,714 : x
  2. Step 2: Convert to fraction form
    673,443/1,464,714 = 1,464,714/x
  3. Step 3: Cross multiply
    673,443x = 1,464,714 × 1,464,714
  4. Step 4: Simplify right side
    673,443x = 2,145,387,101,796
  5. Step 5: Solve for x
    x = 2,145,387,101,796/673,443
  6. Step 6: Final answer
    x = 3,185,699.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.