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Finding the Third Proportional to 2,094,633 and 3,202,821

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Solution

The third proportional to 2,094,633 and 3,202,821 is: 4,897,307.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094,633 : 3,202,821 = 3,202,821 : x
  2. Step 2: Convert to fraction form
    2,094,633/3,202,821 = 3,202,821/x
  3. Step 3: Cross multiply
    2,094,633x = 3,202,821 × 3,202,821
  4. Step 4: Simplify right side
    2,094,633x = 10,258,062,358,041
  5. Step 5: Solve for x
    x = 10,258,062,358,041/2,094,633
  6. Step 6: Final answer
    x = 4,897,307.72

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.