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Finding the Third Proportional to 1,301,100 and 2,819,400

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Solution

The third proportional to 1,301,100 and 2,819,400 is: 6,109,458.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301,100 : 2,819,400 = 2,819,400 : x
  2. Step 2: Convert to fraction form
    1,301,100/2,819,400 = 2,819,400/x
  3. Step 3: Cross multiply
    1,301,100x = 2,819,400 × 2,819,400
  4. Step 4: Simplify right side
    1,301,100x = 7,949,016,360,000
  5. Step 5: Solve for x
    x = 7,949,016,360,000/1,301,100
  6. Step 6: Final answer
    x = 6,109,458.43

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.