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Finding the Third Proportional to 2,942,088 and 4,498,749

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Solution

The third proportional to 2,942,088 and 4,498,749 is: 6,879,040.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,942,088 : 4,498,749 = 4,498,749 : x
  2. Step 2: Convert to fraction form
    2,942,088/4,498,749 = 4,498,749/x
  3. Step 3: Cross multiply
    2,942,088x = 4,498,749 × 4,498,749
  4. Step 4: Simplify right side
    2,942,088x = 20,238,742,565,001
  5. Step 5: Solve for x
    x = 20,238,742,565,001/2,942,088
  6. Step 6: Final answer
    x = 6,879,040.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.