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Finding the Third Proportional to 1,646,932 and 3,522,172

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Solution

The third proportional to 1,646,932 and 3,522,172 is: 7,532,609.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,646,932 : 3,522,172 = 3,522,172 : x
  2. Step 2: Convert to fraction form
    1,646,932/3,522,172 = 3,522,172/x
  3. Step 3: Cross multiply
    1,646,932x = 3,522,172 × 3,522,172
  4. Step 4: Simplify right side
    1,646,932x = 12,405,695,597,584
  5. Step 5: Solve for x
    x = 12,405,695,597,584/1,646,932
  6. Step 6: Final answer
    x = 7,532,609.48

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.