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Finding the Third Proportional to 603,864 and 1,279,648

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Solution

The third proportional to 603,864 and 1,279,648 is: 2,711,701.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,864 : 1,279,648 = 1,279,648 : x
  2. Step 2: Convert to fraction form
    603,864/1,279,648 = 1,279,648/x
  3. Step 3: Cross multiply
    603,864x = 1,279,648 × 1,279,648
  4. Step 4: Simplify right side
    603,864x = 1,637,499,003,904
  5. Step 5: Solve for x
    x = 1,637,499,003,904/603,864
  6. Step 6: Final answer
    x = 2,711,701.65

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.