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Finding the Third Proportional to 2,030,601 and 3,046,297.50

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Solution

The third proportional to 2,030,601 and 3,046,297.50 is: 4,570,040.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,030,601 : 3,046,297.50 = 3,046,297.50 : x
  2. Step 2: Convert to fraction form
    2,030,601/3,046,297.50 = 3,046,297.50/x
  3. Step 3: Cross multiply
    2,030,601x = 3,046,297.50 × 3,046,297.50
  4. Step 4: Simplify right side
    2,030,601x = 9,279,928,458,506.25
  5. Step 5: Solve for x
    x = 9,279,928,458,506.25/2,030,601
  6. Step 6: Final answer
    x = 4,570,040.33

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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.