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Finding the Third Proportional to 2,105,972 and 3,235,002

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Solution

The third proportional to 2,105,972 and 3,235,002 is: 4,969,314.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105,972 : 3,235,002 = 3,235,002 : x
  2. Step 2: Convert to fraction form
    2,105,972/3,235,002 = 3,235,002/x
  3. Step 3: Cross multiply
    2,105,972x = 3,235,002 × 3,235,002
  4. Step 4: Simplify right side
    2,105,972x = 10,465,237,940,004
  5. Step 5: Solve for x
    x = 10,465,237,940,004/2,105,972
  6. Step 6: Final answer
    x = 4,969,314.85

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.