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Finding the Third Proportional to 664,178 and 1,375,616

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Solution

The third proportional to 664,178 and 1,375,616 is: 2,849,114.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    664,178 : 1,375,616 = 1,375,616 : x
  2. Step 2: Convert to fraction form
    664,178/1,375,616 = 1,375,616/x
  3. Step 3: Cross multiply
    664,178x = 1,375,616 × 1,375,616
  4. Step 4: Simplify right side
    664,178x = 1,892,319,379,456
  5. Step 5: Solve for x
    x = 1,892,319,379,456/664,178
  6. Step 6: Final answer
    x = 2,849,114.81

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.