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Finding the Third Proportional to 2,338,848 and 3,498,711.75

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Solution

The third proportional to 2,338,848 and 3,498,711.75 is: 5,233,766.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,338,848 : 3,498,711.75 = 3,498,711.75 : x
  2. Step 2: Convert to fraction form
    2,338,848/3,498,711.75 = 3,498,711.75/x
  3. Step 3: Cross multiply
    2,338,848x = 3,498,711.75 × 3,498,711.75
  4. Step 4: Simplify right side
    2,338,848x = 12,240,983,909,588.06
  5. Step 5: Solve for x
    x = 12,240,983,909,588.06/2,338,848
  6. Step 6: Final answer
    x = 5,233,766.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.