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Finding the Third Proportional to 1,267,216 and 2,624,255

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Solution

The third proportional to 1,267,216 and 2,624,255 is: 5,434,522.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267,216 : 2,624,255 = 2,624,255 : x
  2. Step 2: Convert to fraction form
    1,267,216/2,624,255 = 2,624,255/x
  3. Step 3: Cross multiply
    1,267,216x = 2,624,255 × 2,624,255
  4. Step 4: Simplify right side
    1,267,216x = 6,886,714,305,025
  5. Step 5: Solve for x
    x = 6,886,714,305,025/1,267,216
  6. Step 6: Final answer
    x = 5,434,522.85

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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.