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Finding the Third Proportional to 675,729 and 1,469,043

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Solution

The third proportional to 675,729 and 1,469,043 is: 3,193,717.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,729 : 1,469,043 = 1,469,043 : x
  2. Step 2: Convert to fraction form
    675,729/1,469,043 = 1,469,043/x
  3. Step 3: Cross multiply
    675,729x = 1,469,043 × 1,469,043
  4. Step 4: Simplify right side
    675,729x = 2,158,087,335,849
  5. Step 5: Solve for x
    x = 2,158,087,335,849/675,729
  6. Step 6: Final answer
    x = 3,193,717.21

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.