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Finding the Third Proportional to 1,933,852 and 4,098,216

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Solution

The third proportional to 1,933,852 and 4,098,216 is: 8,684,932.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,933,852 : 4,098,216 = 4,098,216 : x
  2. Step 2: Convert to fraction form
    1,933,852/4,098,216 = 4,098,216/x
  3. Step 3: Cross multiply
    1,933,852x = 4,098,216 × 4,098,216
  4. Step 4: Simplify right side
    1,933,852x = 16,795,374,382,656
  5. Step 5: Solve for x
    x = 16,795,374,382,656/1,933,852
  6. Step 6: Final answer
    x = 8,684,932.65

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.