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Finding the Third Proportional to 923,400 and 1,978,182

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Solution

The third proportional to 923,400 and 1,978,182 is: 4,237,821.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    923,400 : 1,978,182 = 1,978,182 : x
  2. Step 2: Convert to fraction form
    923,400/1,978,182 = 1,978,182/x
  3. Step 3: Cross multiply
    923,400x = 1,978,182 × 1,978,182
  4. Step 4: Simplify right side
    923,400x = 3,913,204,025,124
  5. Step 5: Solve for x
    x = 3,913,204,025,124/923,400
  6. Step 6: Final answer
    x = 4,237,821.12

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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.