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Finding the Third Proportional to 1,367,664 and 3,165,895

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Solution

The third proportional to 1,367,664 and 3,165,895 is: 7,328,474.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367,664 : 3,165,895 = 3,165,895 : x
  2. Step 2: Convert to fraction form
    1,367,664/3,165,895 = 3,165,895/x
  3. Step 3: Cross multiply
    1,367,664x = 3,165,895 × 3,165,895
  4. Step 4: Simplify right side
    1,367,664x = 10,022,891,151,025
  5. Step 5: Solve for x
    x = 10,022,891,151,025/1,367,664
  6. Step 6: Final answer
    x = 7,328,474.79

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.