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Finding the Third Proportional to 3,234,477 and 4,854,083.25

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Solution

The third proportional to 3,234,477 and 4,854,083.25 is: 7,284,678.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,234,477 : 4,854,083.25 = 4,854,083.25 : x
  2. Step 2: Convert to fraction form
    3,234,477/4,854,083.25 = 4,854,083.25/x
  3. Step 3: Cross multiply
    3,234,477x = 4,854,083.25 × 4,854,083.25
  4. Step 4: Simplify right side
    3,234,477x = 23,562,124,197,930.56
  5. Step 5: Solve for x
    x = 23,562,124,197,930.56/3,234,477
  6. Step 6: Final answer
    x = 7,284,678.23

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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.