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Finding the Third Proportional to 2,255,429.25 and 3,258,704.25

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Solution

The third proportional to 2,255,429.25 and 3,258,704.25 is: 4,708,262.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,255,429.25 : 3,258,704.25 = 3,258,704.25 : x
  2. Step 2: Convert to fraction form
    2,255,429.25/3,258,704.25 = 3,258,704.25/x
  3. Step 3: Cross multiply
    2,255,429.25x = 3,258,704.25 × 3,258,704.25
  4. Step 4: Simplify right side
    2,255,429.25x = 10,619,153,388,968.06
  5. Step 5: Solve for x
    x = 10,619,153,388,968.06/2,255,429.25
  6. Step 6: Final answer
    x = 4,708,262.69

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.