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Finding the Third Proportional to 619,400 and 1,340,176

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Solution

The third proportional to 619,400 and 1,340,176 is: 2,899,696.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,400 : 1,340,176 = 1,340,176 : x
  2. Step 2: Convert to fraction form
    619,400/1,340,176 = 1,340,176/x
  3. Step 3: Cross multiply
    619,400x = 1,340,176 × 1,340,176
  4. Step 4: Simplify right side
    619,400x = 1,796,071,710,976
  5. Step 5: Solve for x
    x = 1,796,071,710,976/619,400
  6. Step 6: Final answer
    x = 2,899,696.01

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.