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Finding the Third Proportional to 1,268,127 and 2,809,719

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Solution

The third proportional to 1,268,127 and 2,809,719 is: 6,225,339.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,268,127 : 2,809,719 = 2,809,719 : x
  2. Step 2: Convert to fraction form
    1,268,127/2,809,719 = 2,809,719/x
  3. Step 3: Cross multiply
    1,268,127x = 2,809,719 × 2,809,719
  4. Step 4: Simplify right side
    1,268,127x = 7,894,520,858,961
  5. Step 5: Solve for x
    x = 7,894,520,858,961/1,268,127
  6. Step 6: Final answer
    x = 6,225,339.31

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.