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Finding the Third Proportional to 767,967 and 1,653,669

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Solution

The third proportional to 767,967 and 1,653,669 is: 3,560,857.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,967 : 1,653,669 = 1,653,669 : x
  2. Step 2: Convert to fraction form
    767,967/1,653,669 = 1,653,669/x
  3. Step 3: Cross multiply
    767,967x = 1,653,669 × 1,653,669
  4. Step 4: Simplify right side
    767,967x = 2,734,621,161,561
  5. Step 5: Solve for x
    x = 2,734,621,161,561/767,967
  6. Step 6: Final answer
    x = 3,560,857.64

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.