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Finding the Third Proportional to 1,947,046.50 and 4,261,140

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Solution

The third proportional to 1,947,046.50 and 4,261,140 is: 9,325,567.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,947,046.50 : 4,261,140 = 4,261,140 : x
  2. Step 2: Convert to fraction form
    1,947,046.50/4,261,140 = 4,261,140/x
  3. Step 3: Cross multiply
    1,947,046.50x = 4,261,140 × 4,261,140
  4. Step 4: Simplify right side
    1,947,046.50x = 18,157,314,099,600
  5. Step 5: Solve for x
    x = 18,157,314,099,600/1,947,046.50
  6. Step 6: Final answer
    x = 9,325,567.78

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.