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Finding the Third Proportional to 2,474,958.75 and 3,938,185.50

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Solution

The third proportional to 2,474,958.75 and 3,938,185.50 is: 6,266,490.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,474,958.75 : 3,938,185.50 = 3,938,185.50 : x
  2. Step 2: Convert to fraction form
    2,474,958.75/3,938,185.50 = 3,938,185.50/x
  3. Step 3: Cross multiply
    2,474,958.75x = 3,938,185.50 × 3,938,185.50
  4. Step 4: Simplify right side
    2,474,958.75x = 15,509,305,032,410.25
  5. Step 5: Solve for x
    x = 15,509,305,032,410.25/2,474,958.75
  6. Step 6: Final answer
    x = 6,266,490.31

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.