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Finding the Third Proportional to 3,267,991 and 4,792,114.50

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Solution

The third proportional to 3,267,991 and 4,792,114.50 is: 7,027,057.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,267,991 : 4,792,114.50 = 4,792,114.50 : x
  2. Step 2: Convert to fraction form
    3,267,991/4,792,114.50 = 4,792,114.50/x
  3. Step 3: Cross multiply
    3,267,991x = 4,792,114.50 × 4,792,114.50
  4. Step 4: Simplify right side
    3,267,991x = 22,964,361,381,110.25
  5. Step 5: Solve for x
    x = 22,964,361,381,110.25/3,267,991
  6. Step 6: Final answer
    x = 7,027,057.72

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.