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Finding the Third Proportional to 3,482,569.25 and 4,729,242.88

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Solution

The third proportional to 3,482,569.25 and 4,729,242.88 is: 6,422,194.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,482,569.25 : 4,729,242.88 = 4,729,242.88 : x
  2. Step 2: Convert to fraction form
    3,482,569.25/4,729,242.88 = 4,729,242.88/x
  3. Step 3: Cross multiply
    3,482,569.25x = 4,729,242.88 × 4,729,242.88
  4. Step 4: Simplify right side
    3,482,569.25x = 22,365,738,170,738.27
  5. Step 5: Solve for x
    x = 22,365,738,170,738.27/3,482,569.25
  6. Step 6: Final answer
    x = 6,422,194.81

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.