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Finding the Third Proportional to 3,456,837 and 4,979,712.94

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Solution

The third proportional to 3,456,837 and 4,979,712.94 is: 7,173,477.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,456,837 : 4,979,712.94 = 4,979,712.94 : x
  2. Step 2: Convert to fraction form
    3,456,837/4,979,712.94 = 4,979,712.94/x
  3. Step 3: Cross multiply
    3,456,837x = 4,979,712.94 × 4,979,712.94
  4. Step 4: Simplify right side
    3,456,837x = 24,797,540,939,904.88
  5. Step 5: Solve for x
    x = 24,797,540,939,904.88/3,456,837
  6. Step 6: Final answer
    x = 7,173,477.07

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.