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Finding the Third Proportional to 3,289,920 and 4,907,493

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Solution

The third proportional to 3,289,920 and 4,907,493 is: 7,320,386.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,289,920 : 4,907,493 = 4,907,493 : x
  2. Step 2: Convert to fraction form
    3,289,920/4,907,493 = 4,907,493/x
  3. Step 3: Cross multiply
    3,289,920x = 4,907,493 × 4,907,493
  4. Step 4: Simplify right side
    3,289,920x = 24,083,487,545,049
  5. Step 5: Solve for x
    x = 24,083,487,545,049/3,289,920
  6. Step 6: Final answer
    x = 7,320,386.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.