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Finding the Third Proportional to 1,278,679.29 and 2,714,976.35

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Solution

The third proportional to 1,278,679.29 and 2,714,976.35 is: 5,764,617.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,278,679.29 : 2,714,976.35 = 2,714,976.35 : x
  2. Step 2: Convert to fraction form
    1,278,679.29/2,714,976.35 = 2,714,976.35/x
  3. Step 3: Cross multiply
    1,278,679.29x = 2,714,976.35 × 2,714,976.35
  4. Step 4: Simplify right side
    1,278,679.29x = 7,371,096,589,543.62
  5. Step 5: Solve for x
    x = 7,371,096,589,543.62/1,278,679.29
  6. Step 6: Final answer
    x = 5,764,617.17

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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.