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Finding the Third Proportional to 1,279,940 and 2,742,040

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Solution

The third proportional to 1,279,940 and 2,742,040 is: 5,874,324.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,279,940 : 2,742,040 = 2,742,040 : x
  2. Step 2: Convert to fraction form
    1,279,940/2,742,040 = 2,742,040/x
  3. Step 3: Cross multiply
    1,279,940x = 2,742,040 × 2,742,040
  4. Step 4: Simplify right side
    1,279,940x = 7,518,783,361,600
  5. Step 5: Solve for x
    x = 7,518,783,361,600/1,279,940
  6. Step 6: Final answer
    x = 5,874,324.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.